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Finding the Fourth Proportional to 473,755.20, 711,151.20 and 296,462.40

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Solution

The fourth proportional to 473,755.20, 711,151.20 and 296,462.40 is: 445,018.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,755.20 : 711,151.20 = 296,462.40 : x
  2. Step 2: Convert to fraction form
    473,755.20/711,151.20 = 296,462.40/x
  3. Step 3: Cross multiply
    473,755.20x = 711,151.20 × 296,462.40
  4. Step 4: Simplify right side
    473,755.20x = 210,829,591,514.88
  5. Step 5: Solve for x
    x = 210,829,591,514.88/473,755.20
  6. Step 6: Final answer
    x = 445,018.00

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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.