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Finding the Fourth Proportional to 294,707.46, 406,730.87 and 165,646.11

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Solution

The fourth proportional to 294,707.46, 406,730.87 and 165,646.11 is: 228,611.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,707.46 : 406,730.87 = 165,646.11 : x
  2. Step 2: Convert to fraction form
    294,707.46/406,730.87 = 165,646.11/x
  3. Step 3: Cross multiply
    294,707.46x = 406,730.87 × 165,646.11
  4. Step 4: Simplify right side
    294,707.46x = 67,373,386,432.42
  5. Step 5: Solve for x
    x = 67,373,386,432.42/294,707.46
  6. Step 6: Final answer
    x = 228,611.07

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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.