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Finding the Fourth Proportional to 319,808.48, 441,332.88 and 176,565.48

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Solution

The fourth proportional to 319,808.48, 441,332.88 and 176,565.48 is: 243,658.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,808.48 : 441,332.88 = 176,565.48 : x
  2. Step 2: Convert to fraction form
    319,808.48/441,332.88 = 176,565.48/x
  3. Step 3: Cross multiply
    319,808.48x = 441,332.88 × 176,565.48
  4. Step 4: Simplify right side
    319,808.48x = 77,924,151,796.98
  5. Step 5: Solve for x
    x = 77,924,151,796.98/319,808.48
  6. Step 6: Final answer
    x = 243,658.80

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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.