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Finding the Fourth Proportional to 423,726.60, 584,746.92 and 230,138.08

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Solution

The fourth proportional to 423,726.60, 584,746.92 and 230,138.08 is: 317,592.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,726.60 : 584,746.92 = 230,138.08 : x
  2. Step 2: Convert to fraction form
    423,726.60/584,746.92 = 230,138.08/x
  3. Step 3: Cross multiply
    423,726.60x = 584,746.92 × 230,138.08
  4. Step 4: Simplify right side
    423,726.60x = 134,572,533,454.71
  5. Step 5: Solve for x
    x = 134,572,533,454.71/423,726.60
  6. Step 6: Final answer
    x = 317,592.84

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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.