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Finding the Fourth Proportional to 457,323.40, 685,985.10 and 141,812.20

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Solution

The fourth proportional to 457,323.40, 685,985.10 and 141,812.20 is: 212,718.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,323.40 : 685,985.10 = 141,812.20 : x
  2. Step 2: Convert to fraction form
    457,323.40/685,985.10 = 141,812.20/x
  3. Step 3: Cross multiply
    457,323.40x = 685,985.10 × 141,812.20
  4. Step 4: Simplify right side
    457,323.40x = 97,281,056,198.22
  5. Step 5: Solve for x
    x = 97,281,056,198.22/457,323.40
  6. Step 6: Final answer
    x = 212,718.30

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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.