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Finding the Fourth Proportional to 376,707.69, 564,339.81 and 364,044.96

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Solution

The fourth proportional to 376,707.69, 564,339.81 and 364,044.96 is: 545,369.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,707.69 : 564,339.81 = 364,044.96 : x
  2. Step 2: Convert to fraction form
    376,707.69/564,339.81 = 364,044.96/x
  3. Step 3: Cross multiply
    376,707.69x = 564,339.81 × 364,044.96
  4. Step 4: Simplify right side
    376,707.69x = 205,445,063,557.86
  5. Step 5: Solve for x
    x = 205,445,063,557.86/376,707.69
  6. Step 6: Final answer
    x = 545,369.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.