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Finding the Fourth Proportional to 294,117.39, 441,176.06 and 205,543.89

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Solution

The fourth proportional to 294,117.39, 441,176.06 and 205,543.89 is: 308,315.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,117.39 : 441,176.06 = 205,543.89 : x
  2. Step 2: Convert to fraction form
    294,117.39/441,176.06 = 205,543.89/x
  3. Step 3: Cross multiply
    294,117.39x = 441,176.06 × 205,543.89
  4. Step 4: Simplify right side
    294,117.39x = 90,681,044,061.13
  5. Step 5: Solve for x
    x = 90,681,044,061.13/294,117.39
  6. Step 6: Final answer
    x = 308,315.82

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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.