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Finding the Fourth Proportional to 468,463.65, 647,569.38 and 417,976.74

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Solution

The fourth proportional to 468,463.65, 647,569.38 and 417,976.74 is: 577,780.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,463.65 : 647,569.38 = 417,976.74 : x
  2. Step 2: Convert to fraction form
    468,463.65/647,569.38 = 417,976.74/x
  3. Step 3: Cross multiply
    468,463.65x = 647,569.38 × 417,976.74
  4. Step 4: Simplify right side
    468,463.65x = 270,668,938,376.22
  5. Step 5: Solve for x
    x = 270,668,938,376.22/468,463.65
  6. Step 6: Final answer
    x = 577,780.02

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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.