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Finding the Fourth Proportional to 580,293.66, 870,256.17 and 186,217.50

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Solution

The fourth proportional to 580,293.66, 870,256.17 and 186,217.50 is: 279,267.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,293.66 : 870,256.17 = 186,217.50 : x
  2. Step 2: Convert to fraction form
    580,293.66/870,256.17 = 186,217.50/x
  3. Step 3: Cross multiply
    580,293.66x = 870,256.17 × 186,217.50
  4. Step 4: Simplify right side
    580,293.66x = 162,056,928,336.98
  5. Step 5: Solve for x
    x = 162,056,928,336.98/580,293.66
  6. Step 6: Final answer
    x = 279,267.10

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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.