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Finding the Fourth Proportional to 464,666.13, 641,250.31 and 260,732.14

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Solution

The fourth proportional to 464,666.13, 641,250.31 and 260,732.14 is: 359,816.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,666.13 : 641,250.31 = 260,732.14 : x
  2. Step 2: Convert to fraction form
    464,666.13/641,250.31 = 260,732.14/x
  3. Step 3: Cross multiply
    464,666.13x = 641,250.31 × 260,732.14
  4. Step 4: Simplify right side
    464,666.13x = 167,194,562,395.71
  5. Step 5: Solve for x
    x = 167,194,562,395.71/464,666.13
  6. Step 6: Final answer
    x = 359,816.55

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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.