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Finding the Fourth Proportional to 438,302.80, 657,070.20 and 297,605.20

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Solution

The fourth proportional to 438,302.80, 657,070.20 and 297,605.20 is: 446,147.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,302.80 : 657,070.20 = 297,605.20 : x
  2. Step 2: Convert to fraction form
    438,302.80/657,070.20 = 297,605.20/x
  3. Step 3: Cross multiply
    438,302.80x = 657,070.20 × 297,605.20
  4. Step 4: Simplify right side
    438,302.80x = 195,547,508,285.04
  5. Step 5: Solve for x
    x = 195,547,508,285.04/438,302.80
  6. Step 6: Final answer
    x = 446,147.07

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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.