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Finding the Fourth Proportional to 294,340.65, 406,162.33 and 165,253.91

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Solution

The fourth proportional to 294,340.65, 406,162.33 and 165,253.91 is: 228,034.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,340.65 : 406,162.33 = 165,253.91 : x
  2. Step 2: Convert to fraction form
    294,340.65/406,162.33 = 165,253.91/x
  3. Step 3: Cross multiply
    294,340.65x = 406,162.33 × 165,253.91
  4. Step 4: Simplify right side
    294,340.65x = 67,119,913,152.02
  5. Step 5: Solve for x
    x = 67,119,913,152.02/294,340.65
  6. Step 6: Final answer
    x = 228,034.81

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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.