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Finding the Fourth Proportional to 537,645.80, 806,468.70 and 478,548.20

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Solution

The fourth proportional to 537,645.80, 806,468.70 and 478,548.20 is: 717,822.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,645.80 : 806,468.70 = 478,548.20 : x
  2. Step 2: Convert to fraction form
    537,645.80/806,468.70 = 478,548.20/x
  3. Step 3: Cross multiply
    537,645.80x = 806,468.70 × 478,548.20
  4. Step 4: Simplify right side
    537,645.80x = 385,934,144,741.34
  5. Step 5: Solve for x
    x = 385,934,144,741.34/537,645.80
  6. Step 6: Final answer
    x = 717,822.30

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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.