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Finding the Fourth Proportional to 319,332.96, 440,672.16 and 176,089.92

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Solution

The fourth proportional to 319,332.96, 440,672.16 and 176,089.92 is: 243,000.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,332.96 : 440,672.16 = 176,089.92 : x
  2. Step 2: Convert to fraction form
    319,332.96/440,672.16 = 176,089.92/x
  3. Step 3: Cross multiply
    319,332.96x = 440,672.16 × 176,089.92
  4. Step 4: Simplify right side
    319,332.96x = 77,597,925,400.63
  5. Step 5: Solve for x
    x = 77,597,925,400.63/319,332.96
  6. Step 6: Final answer
    x = 243,000.05

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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.