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Finding the Fourth Proportional to 467,565.92, 645,063.72 and 286,132.40

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Solution

The fourth proportional to 467,565.92, 645,063.72 and 286,132.40 is: 394,754.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,565.92 : 645,063.72 = 286,132.40 : x
  2. Step 2: Convert to fraction form
    467,565.92/645,063.72 = 286,132.40/x
  3. Step 3: Cross multiply
    467,565.92x = 645,063.72 × 286,132.40
  4. Step 4: Simplify right side
    467,565.92x = 184,573,630,356.53
  5. Step 5: Solve for x
    x = 184,573,630,356.53/467,565.92
  6. Step 6: Final answer
    x = 394,754.24

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Why These Related Problems?

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