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Finding the Fourth Proportional to 474,278.60, 711,174.70 and 141,811.40

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Solution

The fourth proportional to 474,278.60, 711,174.70 and 141,811.40 is: 212,644.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,278.60 : 711,174.70 = 141,811.40 : x
  2. Step 2: Convert to fraction form
    474,278.60/711,174.70 = 141,811.40/x
  3. Step 3: Cross multiply
    474,278.60x = 711,174.70 × 141,811.40
  4. Step 4: Simplify right side
    474,278.60x = 100,852,679,851.58
  5. Step 5: Solve for x
    x = 100,852,679,851.58/474,278.60
  6. Step 6: Final answer
    x = 212,644.38

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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.