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Finding the Fourth Proportional to 474,468.60, 711,962.10 and 194,014.20

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Solution

The fourth proportional to 474,468.60, 711,962.10 and 194,014.20 is: 291,127.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,468.60 : 711,962.10 = 194,014.20 : x
  2. Step 2: Convert to fraction form
    474,468.60/711,962.10 = 194,014.20/x
  3. Step 3: Cross multiply
    474,468.60x = 711,962.10 × 194,014.20
  4. Step 4: Simplify right side
    474,468.60x = 138,130,757,261.82
  5. Step 5: Solve for x
    x = 138,130,757,261.82/474,468.60
  6. Step 6: Final answer
    x = 291,127.29

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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.