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Finding the Fourth Proportional to 506,438.64, 698,873.40 and 280,079.28

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Solution

The fourth proportional to 506,438.64, 698,873.40 and 280,079.28 is: 386,502.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,438.64 : 698,873.40 = 280,079.28 : x
  2. Step 2: Convert to fraction form
    506,438.64/698,873.40 = 280,079.28/x
  3. Step 3: Cross multiply
    506,438.64x = 698,873.40 × 280,079.28
  4. Step 4: Simplify right side
    506,438.64x = 195,739,958,683.15
  5. Step 5: Solve for x
    x = 195,739,958,683.15/506,438.64
  6. Step 6: Final answer
    x = 386,502.81

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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.