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Finding the Fourth Proportional to 497,209.20, 744,935.40 and 480,764.40

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Solution

The fourth proportional to 497,209.20, 744,935.40 and 480,764.40 is: 720,297.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,209.20 : 744,935.40 = 480,764.40 : x
  2. Step 2: Convert to fraction form
    497,209.20/744,935.40 = 480,764.40/x
  3. Step 3: Cross multiply
    497,209.20x = 744,935.40 × 480,764.40
  4. Step 4: Simplify right side
    497,209.20x = 358,138,420,619.76
  5. Step 5: Solve for x
    x = 358,138,420,619.76/497,209.20
  6. Step 6: Final answer
    x = 720,297.25

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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.