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Finding the Fourth Proportional to 966,208.28, 1,449,363 and 292,272.32

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Solution

The fourth proportional to 966,208.28, 1,449,363 and 292,272.32 is: 438,423.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,208.28 : 1,449,363 = 292,272.32 : x
  2. Step 2: Convert to fraction form
    966,208.28/1,449,363 = 292,272.32/x
  3. Step 3: Cross multiply
    966,208.28x = 1,449,363 × 292,272.32
  4. Step 4: Simplify right side
    966,208.28x = 423,608,686,532.16
  5. Step 5: Solve for x
    x = 423,608,686,532.16/966,208.28
  6. Step 6: Final answer
    x = 438,423.78

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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.