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Finding the Fourth Proportional to 469,398.72, 702,416 and 406,436.16

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Solution

The fourth proportional to 469,398.72, 702,416 and 406,436.16 is: 608,197.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,398.72 : 702,416 = 406,436.16 : x
  2. Step 2: Convert to fraction form
    469,398.72/702,416 = 406,436.16/x
  3. Step 3: Cross multiply
    469,398.72x = 702,416 × 406,436.16
  4. Step 4: Simplify right side
    469,398.72x = 285,487,261,762.56
  5. Step 5: Solve for x
    x = 285,487,261,762.56/469,398.72
  6. Step 6: Final answer
    x = 608,197.78

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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.