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Finding the Fourth Proportional to 468,000.90, 702,001.35 and 413,763.30

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Solution

The fourth proportional to 468,000.90, 702,001.35 and 413,763.30 is: 620,644.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,000.90 : 702,001.35 = 413,763.30 : x
  2. Step 2: Convert to fraction form
    468,000.90/702,001.35 = 413,763.30/x
  3. Step 3: Cross multiply
    468,000.90x = 702,001.35 × 413,763.30
  4. Step 4: Simplify right side
    468,000.90x = 290,462,395,180.46
  5. Step 5: Solve for x
    x = 290,462,395,180.46/468,000.90
  6. Step 6: Final answer
    x = 620,644.95

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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.