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Finding the Fourth Proportional to 474,346.80, 710,124.84 and 296,314.20

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Solution

The fourth proportional to 474,346.80, 710,124.84 and 296,314.20 is: 443,599.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,346.80 : 710,124.84 = 296,314.20 : x
  2. Step 2: Convert to fraction form
    474,346.80/710,124.84 = 296,314.20/x
  3. Step 3: Cross multiply
    474,346.80x = 710,124.84 × 296,314.20
  4. Step 4: Simplify right side
    474,346.80x = 210,420,073,864.73
  5. Step 5: Solve for x
    x = 210,420,073,864.73/474,346.80
  6. Step 6: Final answer
    x = 443,599.65

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1.5x scale

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.