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Finding the Fourth Proportional to 474,869.52, 712,665.36 and 175,633.20

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Solution

The fourth proportional to 474,869.52, 712,665.36 and 175,633.20 is: 263,583.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,869.52 : 712,665.36 = 175,633.20 : x
  2. Step 2: Convert to fraction form
    474,869.52/712,665.36 = 175,633.20/x
  3. Step 3: Cross multiply
    474,869.52x = 712,665.36 × 175,633.20
  4. Step 4: Simplify right side
    474,869.52x = 125,167,697,705.95
  5. Step 5: Solve for x
    x = 125,167,697,705.95/474,869.52
  6. Step 6: Final answer
    x = 263,583.35

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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.