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Finding the Fourth Proportional to 423,503.22, 584,444.70 and 229,918.89

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Solution

The fourth proportional to 423,503.22, 584,444.70 and 229,918.89 is: 317,293.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,503.22 : 584,444.70 = 229,918.89 : x
  2. Step 2: Convert to fraction form
    423,503.22/584,444.70 = 229,918.89/x
  3. Step 3: Cross multiply
    423,503.22x = 584,444.70 × 229,918.89
  4. Step 4: Simplify right side
    423,503.22x = 134,374,876,690.38
  5. Step 5: Solve for x
    x = 134,374,876,690.38/423,503.22
  6. Step 6: Final answer
    x = 317,293.64

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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.