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Finding the Fourth Proportional to 584,098.62, 806,421 and 447,870.86

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Solution

The fourth proportional to 584,098.62, 806,421 and 447,870.86 is: 618,341.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,098.62 : 806,421 = 447,870.86 : x
  2. Step 2: Convert to fraction form
    584,098.62/806,421 = 447,870.86/x
  3. Step 3: Cross multiply
    584,098.62x = 806,421 × 447,870.86
  4. Step 4: Simplify right side
    584,098.62x = 361,172,466,792.06
  5. Step 5: Solve for x
    x = 361,172,466,792.06/584,098.62
  6. Step 6: Final answer
    x = 618,341.59

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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.