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Finding the Fourth Proportional to 781,076, 1,077,885 and 423,380

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Solution

The fourth proportional to 781,076, 1,077,885 and 423,380 is: 584,264.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,076 : 1,077,885 = 423,380 : x
  2. Step 2: Convert to fraction form
    781,076/1,077,885 = 423,380/x
  3. Step 3: Cross multiply
    781,076x = 1,077,885 × 423,380
  4. Step 4: Simplify right side
    781,076x = 456,354,951,300
  5. Step 5: Solve for x
    x = 456,354,951,300/781,076
  6. Step 6: Final answer
    x = 584,264.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.