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Finding the Fourth Proportional to 423,229.98, 584,056.56 and 229,637.64

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Solution

The fourth proportional to 423,229.98, 584,056.56 and 229,637.64 is: 316,899.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,229.98 : 584,056.56 = 229,637.64 : x
  2. Step 2: Convert to fraction form
    423,229.98/584,056.56 = 229,637.64/x
  3. Step 3: Cross multiply
    423,229.98x = 584,056.56 × 229,637.64
  4. Step 4: Simplify right side
    423,229.98x = 134,121,370,064.92
  5. Step 5: Solve for x
    x = 134,121,370,064.92/423,229.98
  6. Step 6: Final answer
    x = 316,899.50

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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.