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Finding the Fourth Proportional to 564,673.92, 846,831.04 and 185,506.64

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Solution

The fourth proportional to 564,673.92, 846,831.04 and 185,506.64 is: 278,200.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,673.92 : 846,831.04 = 185,506.64 : x
  2. Step 2: Convert to fraction form
    564,673.92/846,831.04 = 185,506.64/x
  3. Step 3: Cross multiply
    564,673.92x = 846,831.04 × 185,506.64
  4. Step 4: Simplify right side
    564,673.92x = 157,092,780,878.11
  5. Step 5: Solve for x
    x = 157,092,780,878.11/564,673.92
  6. Step 6: Final answer
    x = 278,200.88

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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.