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Finding the Fourth Proportional to 532,826.40, 801,207.90 and 446,221.20

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Solution

The fourth proportional to 532,826.40, 801,207.90 and 446,221.20 is: 670,980.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,826.40 : 801,207.90 = 446,221.20 : x
  2. Step 2: Convert to fraction form
    532,826.40/801,207.90 = 446,221.20/x
  3. Step 3: Cross multiply
    532,826.40x = 801,207.90 × 446,221.20
  4. Step 4: Simplify right side
    532,826.40x = 357,515,950,587.48
  5. Step 5: Solve for x
    x = 357,515,950,587.48/532,826.40
  6. Step 6: Final answer
    x = 670,980.17

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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.