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Finding the Fourth Proportional to 423,567.12, 584,532.80 and 229,983.04

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Solution

The fourth proportional to 423,567.12, 584,532.80 and 229,983.04 is: 317,382.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,567.12 : 584,532.80 = 229,983.04 : x
  2. Step 2: Convert to fraction form
    423,567.12/584,532.80 = 229,983.04/x
  3. Step 3: Cross multiply
    423,567.12x = 584,532.80 × 229,983.04
  4. Step 4: Simplify right side
    423,567.12x = 134,432,630,323.71
  5. Step 5: Solve for x
    x = 134,432,630,323.71/423,567.12
  6. Step 6: Final answer
    x = 317,382.12

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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.