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Finding the Fourth Proportional to 506,411.24, 698,865.69 and 288,652.77

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Solution

The fourth proportional to 506,411.24, 698,865.69 and 288,652.77 is: 398,351.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,411.24 : 698,865.69 = 288,652.77 : x
  2. Step 2: Convert to fraction form
    506,411.24/698,865.69 = 288,652.77/x
  3. Step 3: Cross multiply
    506,411.24x = 698,865.69 × 288,652.77
  4. Step 4: Simplify right side
    506,411.24x = 201,729,517,276.46
  5. Step 5: Solve for x
    x = 201,729,517,276.46/506,411.24
  6. Step 6: Final answer
    x = 398,351.19

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1.5x scale

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.