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Finding the Fourth Proportional to 473,699.49, 653,709.87 and 258,839.52

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Solution

The fourth proportional to 473,699.49, 653,709.87 and 258,839.52 is: 357,201.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,699.49 : 653,709.87 = 258,839.52 : x
  2. Step 2: Convert to fraction form
    473,699.49/653,709.87 = 258,839.52/x
  3. Step 3: Cross multiply
    473,699.49x = 653,709.87 × 258,839.52
  4. Step 4: Simplify right side
    473,699.49x = 169,205,948,970.06
  5. Step 5: Solve for x
    x = 169,205,948,970.06/473,699.49
  6. Step 6: Final answer
    x = 357,201.04

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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.