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Finding the Fourth Proportional to 781,320, 1,078,221.60 and 423,624

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Solution

The fourth proportional to 781,320, 1,078,221.60 and 423,624 is: 584,601.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,320 : 1,078,221.60 = 423,624 : x
  2. Step 2: Convert to fraction form
    781,320/1,078,221.60 = 423,624/x
  3. Step 3: Cross multiply
    781,320x = 1,078,221.60 × 423,624
  4. Step 4: Simplify right side
    781,320x = 456,760,547,078.40
  5. Step 5: Solve for x
    x = 456,760,547,078.40/781,320
  6. Step 6: Final answer
    x = 584,601.12

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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.