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Finding the Fourth Proportional to 473,813.12, 653,799.10 and 304,276.88

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Solution

The fourth proportional to 473,813.12, 653,799.10 and 304,276.88 is: 419,861.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,813.12 : 653,799.10 = 304,276.88 : x
  2. Step 2: Convert to fraction form
    473,813.12/653,799.10 = 304,276.88/x
  3. Step 3: Cross multiply
    473,813.12x = 653,799.10 × 304,276.88
  4. Step 4: Simplify right side
    473,813.12x = 198,935,950,294.81
  5. Step 5: Solve for x
    x = 198,935,950,294.81/473,813.12
  6. Step 6: Final answer
    x = 419,861.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.