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Finding the Fourth Proportional to 565,127.64, 846,862.02 and 284,258.52

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Solution

The fourth proportional to 565,127.64, 846,862.02 and 284,258.52 is: 425,970.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,127.64 : 846,862.02 = 284,258.52 : x
  2. Step 2: Convert to fraction form
    565,127.64/846,862.02 = 284,258.52/x
  3. Step 3: Cross multiply
    565,127.64x = 846,862.02 × 284,258.52
  4. Step 4: Simplify right side
    565,127.64x = 240,727,744,449.41
  5. Step 5: Solve for x
    x = 240,727,744,449.41/565,127.64
  6. Step 6: Final answer
    x = 425,970.57

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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.