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Finding the Fourth Proportional to 580,609.12, 870,913.76 and 181,284.10

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Solution

The fourth proportional to 580,609.12, 870,913.76 and 181,284.10 is: 271,926.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,609.12 : 870,913.76 = 181,284.10 : x
  2. Step 2: Convert to fraction form
    580,609.12/870,913.76 = 181,284.10/x
  3. Step 3: Cross multiply
    580,609.12x = 870,913.76 × 181,284.10
  4. Step 4: Simplify right side
    580,609.12x = 157,882,817,159.22
  5. Step 5: Solve for x
    x = 157,882,817,159.22/580,609.12
  6. Step 6: Final answer
    x = 271,926.17

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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.