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Finding the Fourth Proportional to 560,211.40, 840,317.10 and 461,796.40

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Solution

The fourth proportional to 560,211.40, 840,317.10 and 461,796.40 is: 692,694.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,211.40 : 840,317.10 = 461,796.40 : x
  2. Step 2: Convert to fraction form
    560,211.40/840,317.10 = 461,796.40/x
  3. Step 3: Cross multiply
    560,211.40x = 840,317.10 × 461,796.40
  4. Step 4: Simplify right side
    560,211.40x = 388,055,411,638.44
  5. Step 5: Solve for x
    x = 388,055,411,638.44/560,211.40
  6. Step 6: Final answer
    x = 692,694.60

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.