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Finding the Fourth Proportional to 474,004.90, 711,005.73 and 158,461.30

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Solution

The fourth proportional to 474,004.90, 711,005.73 and 158,461.30 is: 237,691.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,004.90 : 711,005.73 = 158,461.30 : x
  2. Step 2: Convert to fraction form
    474,004.90/711,005.73 = 158,461.30/x
  3. Step 3: Cross multiply
    474,004.90x = 711,005.73 × 158,461.30
  4. Step 4: Simplify right side
    474,004.90x = 112,666,892,283.25
  5. Step 5: Solve for x
    x = 112,666,892,283.25/474,004.90
  6. Step 6: Final answer
    x = 237,691.41

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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.