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Finding the Fourth Proportional to 402,001.10, 603,001.65 and 213,044.30

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Solution

The fourth proportional to 402,001.10, 603,001.65 and 213,044.30 is: 319,566.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,001.10 : 603,001.65 = 213,044.30 : x
  2. Step 2: Convert to fraction form
    402,001.10/603,001.65 = 213,044.30/x
  3. Step 3: Cross multiply
    402,001.10x = 603,001.65 × 213,044.30
  4. Step 4: Simplify right side
    402,001.10x = 128,466,064,423.10
  5. Step 5: Solve for x
    x = 128,466,064,423.10/402,001.10
  6. Step 6: Final answer
    x = 319,566.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.