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Finding the Fourth Proportional to 423,575.08, 584,543.82 and 229,991.02

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Solution

The fourth proportional to 423,575.08, 584,543.82 and 229,991.02 is: 317,393.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,575.08 : 584,543.82 = 229,991.02 : x
  2. Step 2: Convert to fraction form
    423,575.08/584,543.82 = 229,991.02/x
  3. Step 3: Cross multiply
    423,575.08x = 584,543.82 × 229,991.02
  4. Step 4: Simplify right side
    423,575.08x = 134,439,829,396.50
  5. Step 5: Solve for x
    x = 134,439,829,396.50/423,575.08
  6. Step 6: Final answer
    x = 317,393.15

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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.