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Finding the Fourth Proportional to 847,446, 1,169,476.56 and 465,480.24

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Solution

The fourth proportional to 847,446, 1,169,476.56 and 465,480.24 is: 642,363.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,446 : 1,169,476.56 = 465,480.24 : x
  2. Step 2: Convert to fraction form
    847,446/1,169,476.56 = 465,480.24/x
  3. Step 3: Cross multiply
    847,446x = 1,169,476.56 × 465,480.24
  4. Step 4: Simplify right side
    847,446x = 544,368,229,823.17
  5. Step 5: Solve for x
    x = 544,368,229,823.17/847,446
  6. Step 6: Final answer
    x = 642,363.32

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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.