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Finding the Fourth Proportional to 474,188.30, 711,656.38 and 208,132.46

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Solution

The fourth proportional to 474,188.30, 711,656.38 and 208,132.46 is: 312,362.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,188.30 : 711,656.38 = 208,132.46 : x
  2. Step 2: Convert to fraction form
    474,188.30/711,656.38 = 208,132.46/x
  3. Step 3: Cross multiply
    474,188.30x = 711,656.38 × 208,132.46
  4. Step 4: Simplify right side
    474,188.30x = 148,118,793,044.10
  5. Step 5: Solve for x
    x = 148,118,793,044.10/474,188.30
  6. Step 6: Final answer
    x = 312,362.82

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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.