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Finding the Fourth Proportional to 983,442, 1,475,416.50 and 534,047.52

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Solution

The fourth proportional to 983,442, 1,475,416.50 and 534,047.52 is: 801,208.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    983,442 : 1,475,416.50 = 534,047.52 : x
  2. Step 2: Convert to fraction form
    983,442/1,475,416.50 = 534,047.52/x
  3. Step 3: Cross multiply
    983,442x = 1,475,416.50 × 534,047.52
  4. Step 4: Simplify right side
    983,442x = 787,942,522,792.08
  5. Step 5: Solve for x
    x = 787,942,522,792.08/983,442
  6. Step 6: Final answer
    x = 801,208.94

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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.