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Finding the Fourth Proportional to 407,304.96, 611,045.76 and 170,525.76

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Solution

The fourth proportional to 407,304.96, 611,045.76 and 170,525.76 is: 255,825.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,304.96 : 611,045.76 = 170,525.76 : x
  2. Step 2: Convert to fraction form
    407,304.96/611,045.76 = 170,525.76/x
  3. Step 3: Cross multiply
    407,304.96x = 611,045.76 × 170,525.76
  4. Step 4: Simplify right side
    407,304.96x = 104,199,042,618.78
  5. Step 5: Solve for x
    x = 104,199,042,618.78/407,304.96
  6. Step 6: Final answer
    x = 255,825.62

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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.