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Finding the Fourth Proportional to 968,382, 1,452,806.28 and 303,534

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Solution

The fourth proportional to 968,382, 1,452,806.28 and 303,534 is: 455,374.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    968,382 : 1,452,806.28 = 303,534 : x
  2. Step 2: Convert to fraction form
    968,382/1,452,806.28 = 303,534/x
  3. Step 3: Cross multiply
    968,382x = 1,452,806.28 × 303,534
  4. Step 4: Simplify right side
    968,382x = 440,976,101,393.52
  5. Step 5: Solve for x
    x = 440,976,101,393.52/968,382
  6. Step 6: Final answer
    x = 455,374.12

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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.