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Finding the Fourth Proportional to 418,281.38, 577,222.48 and 232,007.16

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Solution

The fourth proportional to 418,281.38, 577,222.48 and 232,007.16 is: 320,166.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,281.38 : 577,222.48 = 232,007.16 : x
  2. Step 2: Convert to fraction form
    418,281.38/577,222.48 = 232,007.16/x
  3. Step 3: Cross multiply
    418,281.38x = 577,222.48 × 232,007.16
  4. Step 4: Simplify right side
    418,281.38x = 133,919,748,272.96
  5. Step 5: Solve for x
    x = 133,919,748,272.96/418,281.38
  6. Step 6: Final answer
    x = 320,166.65

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1.5x scale

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.