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Finding the Fourth Proportional to 419,416.56, 629,291.16 and 153,194.40

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Solution

The fourth proportional to 419,416.56, 629,291.16 and 153,194.40 is: 229,852.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,416.56 : 629,291.16 = 153,194.40 : x
  2. Step 2: Convert to fraction form
    419,416.56/629,291.16 = 153,194.40/x
  3. Step 3: Cross multiply
    419,416.56x = 629,291.16 × 153,194.40
  4. Step 4: Simplify right side
    419,416.56x = 96,403,881,681.50
  5. Step 5: Solve for x
    x = 96,403,881,681.50/419,416.56
  6. Step 6: Final answer
    x = 229,852.35

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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.