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Finding the Fourth Proportional to 473,587.90, 710,151.60 and 157,938.19

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Solution

The fourth proportional to 473,587.90, 710,151.60 and 157,938.19 is: 236,830.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,587.90 : 710,151.60 = 157,938.19 : x
  2. Step 2: Convert to fraction form
    473,587.90/710,151.60 = 157,938.19/x
  3. Step 3: Cross multiply
    473,587.90x = 710,151.60 × 157,938.19
  4. Step 4: Simplify right side
    473,587.90x = 112,160,057,146.49
  5. Step 5: Solve for x
    x = 112,160,057,146.49/473,587.90
  6. Step 6: Final answer
    x = 236,830.50

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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.