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Finding the Fourth Proportional to 565,128.64, 846,863.52 and 284,259.52

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Solution

The fourth proportional to 565,128.64, 846,863.52 and 284,259.52 is: 425,972.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,128.64 : 846,863.52 = 284,259.52 : x
  2. Step 2: Convert to fraction form
    565,128.64/846,863.52 = 284,259.52/x
  3. Step 3: Cross multiply
    565,128.64x = 846,863.52 × 284,259.52
  4. Step 4: Simplify right side
    565,128.64x = 240,729,017,700.71
  5. Step 5: Solve for x
    x = 240,729,017,700.71/565,128.64
  6. Step 6: Final answer
    x = 425,972.07

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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.