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Finding the Fourth Proportional to 415,070.16, 572,851.10 and 233,817

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Solution

The fourth proportional to 415,070.16, 572,851.10 and 233,817 is: 322,698.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,070.16 : 572,851.10 = 233,817 : x
  2. Step 2: Convert to fraction form
    415,070.16/572,851.10 = 233,817/x
  3. Step 3: Cross multiply
    415,070.16x = 572,851.10 × 233,817
  4. Step 4: Simplify right side
    415,070.16x = 133,942,325,648.70
  5. Step 5: Solve for x
    x = 133,942,325,648.70/415,070.16
  6. Step 6: Final answer
    x = 322,698.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.