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Finding the Fourth Proportional to 474,367.80, 710,156.34 and 296,335.20

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Solution

The fourth proportional to 474,367.80, 710,156.34 and 296,335.20 is: 443,631.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,367.80 : 710,156.34 = 296,335.20 : x
  2. Step 2: Convert to fraction form
    474,367.80/710,156.34 = 296,335.20/x
  3. Step 3: Cross multiply
    474,367.80x = 710,156.34 × 296,335.20
  4. Step 4: Simplify right side
    474,367.80x = 210,444,321,045.17
  5. Step 5: Solve for x
    x = 210,444,321,045.17/474,367.80
  6. Step 6: Final answer
    x = 443,631.13

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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.