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Finding the Fourth Proportional to 983,443, 1,475,418 and 534,048.52

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Solution

The fourth proportional to 983,443, 1,475,418 and 534,048.52 is: 801,210.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    983,443 : 1,475,418 = 534,048.52 : x
  2. Step 2: Convert to fraction form
    983,443/1,475,418 = 534,048.52/x
  3. Step 3: Cross multiply
    983,443x = 1,475,418 × 534,048.52
  4. Step 4: Simplify right side
    983,443x = 787,944,799,281.36
  5. Step 5: Solve for x
    x = 787,944,799,281.36/983,443
  6. Step 6: Final answer
    x = 801,210.44

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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.