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Finding the Fourth Proportional to 510,416, 765,565.68 and 136,468.16

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Solution

The fourth proportional to 510,416, 765,565.68 and 136,468.16 is: 204,686.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,416 : 765,565.68 = 136,468.16 : x
  2. Step 2: Convert to fraction form
    510,416/765,565.68 = 136,468.16/x
  3. Step 3: Cross multiply
    510,416x = 765,565.68 × 136,468.16
  4. Step 4: Simplify right side
    510,416x = 104,475,339,708.75
  5. Step 5: Solve for x
    x = 104,475,339,708.75/510,416
  6. Step 6: Final answer
    x = 204,686.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.