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Finding the Fourth Proportional to 758,471.73, 1,046,690.95 and 409,612.11

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Solution

The fourth proportional to 758,471.73, 1,046,690.95 and 409,612.11 is: 565,264.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,471.73 : 1,046,690.95 = 409,612.11 : x
  2. Step 2: Convert to fraction form
    758,471.73/1,046,690.95 = 409,612.11/x
  3. Step 3: Cross multiply
    758,471.73x = 1,046,690.95 × 409,612.11
  4. Step 4: Simplify right side
    758,471.73x = 428,737,281,265.89
  5. Step 5: Solve for x
    x = 428,737,281,265.89/758,471.73
  6. Step 6: Final answer
    x = 565,264.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.