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Finding the Fourth Proportional to 434,553.40, 651,830.10 and 417,057.40

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Solution

The fourth proportional to 434,553.40, 651,830.10 and 417,057.40 is: 625,586.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,553.40 : 651,830.10 = 417,057.40 : x
  2. Step 2: Convert to fraction form
    434,553.40/651,830.10 = 417,057.40/x
  3. Step 3: Cross multiply
    434,553.40x = 651,830.10 × 417,057.40
  4. Step 4: Simplify right side
    434,553.40x = 271,850,566,747.74
  5. Step 5: Solve for x
    x = 271,850,566,747.74/434,553.40
  6. Step 6: Final answer
    x = 625,586.10

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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.