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Finding the Fourth Proportional to 474,098.80, 710,802.60 and 193,471.60

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Solution

The fourth proportional to 474,098.80, 710,802.60 and 193,471.60 is: 290,066.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,098.80 : 710,802.60 = 193,471.60 : x
  2. Step 2: Convert to fraction form
    474,098.80/710,802.60 = 193,471.60/x
  3. Step 3: Cross multiply
    474,098.80x = 710,802.60 × 193,471.60
  4. Step 4: Simplify right side
    474,098.80x = 137,520,116,306.16
  5. Step 5: Solve for x
    x = 137,520,116,306.16/474,098.80
  6. Step 6: Final answer
    x = 290,066.37

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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.