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Finding the Fourth Proportional to 423,073.44, 583,838.10 and 232,085.52

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Solution

The fourth proportional to 423,073.44, 583,838.10 and 232,085.52 is: 320,276.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,073.44 : 583,838.10 = 232,085.52 : x
  2. Step 2: Convert to fraction form
    423,073.44/583,838.10 = 232,085.52/x
  3. Step 3: Cross multiply
    423,073.44x = 583,838.10 × 232,085.52
  4. Step 4: Simplify right side
    423,073.44x = 135,500,369,034.31
  5. Step 5: Solve for x
    x = 135,500,369,034.31/423,073.44
  6. Step 6: Final answer
    x = 320,276.24

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Why These Related Problems?

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