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Finding the Fourth Proportional to 423,140.32, 583,780.39 and 278,024.26

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Solution

The fourth proportional to 423,140.32, 583,780.39 and 278,024.26 is: 383,572.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,140.32 : 583,780.39 = 278,024.26 : x
  2. Step 2: Convert to fraction form
    423,140.32/583,780.39 = 278,024.26/x
  3. Step 3: Cross multiply
    423,140.32x = 583,780.39 × 278,024.26
  4. Step 4: Simplify right side
    423,140.32x = 162,305,108,013.36
  5. Step 5: Solve for x
    x = 162,305,108,013.36/423,140.32
  6. Step 6: Final answer
    x = 383,572.78

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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.