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Finding the Fourth Proportional to 418,444.98, 569,728.80 and 417,116.38

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Solution

The fourth proportional to 418,444.98, 569,728.80 and 417,116.38 is: 567,919.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,444.98 : 569,728.80 = 417,116.38 : x
  2. Step 2: Convert to fraction form
    418,444.98/569,728.80 = 417,116.38/x
  3. Step 3: Cross multiply
    418,444.98x = 569,728.80 × 417,116.38
  4. Step 4: Simplify right side
    418,444.98x = 237,643,214,637.74
  5. Step 5: Solve for x
    x = 237,643,214,637.74/418,444.98
  6. Step 6: Final answer
    x = 567,919.86

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.