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Finding the Fourth Proportional to 474,551.20, 711,999.60 and 194,269.60

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Solution

The fourth proportional to 474,551.20, 711,999.60 and 194,269.60 is: 291,475.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,551.20 : 711,999.60 = 194,269.60 : x
  2. Step 2: Convert to fraction form
    474,551.20/711,999.60 = 194,269.60/x
  3. Step 3: Cross multiply
    474,551.20x = 711,999.60 × 194,269.60
  4. Step 4: Simplify right side
    474,551.20x = 138,319,877,492.16
  5. Step 5: Solve for x
    x = 138,319,877,492.16/474,551.20
  6. Step 6: Final answer
    x = 291,475.14

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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.