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Finding the Fourth Proportional to 474,798.29, 712,267.83 and 137,841.75

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Solution

The fourth proportional to 474,798.29, 712,267.83 and 137,841.75 is: 206,783.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,798.29 : 712,267.83 = 137,841.75 : x
  2. Step 2: Convert to fraction form
    474,798.29/712,267.83 = 137,841.75/x
  3. Step 3: Cross multiply
    474,798.29x = 712,267.83 × 137,841.75
  4. Step 4: Simplify right side
    474,798.29x = 98,180,244,155.90
  5. Step 5: Solve for x
    x = 98,180,244,155.90/474,798.29
  6. Step 6: Final answer
    x = 206,783.06

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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.