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Finding the Fourth Proportional to 586,927.12, 880,367.52 and 207,832.56

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Solution

The fourth proportional to 586,927.12, 880,367.52 and 207,832.56 is: 311,740.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,927.12 : 880,367.52 = 207,832.56 : x
  2. Step 2: Convert to fraction form
    586,927.12/880,367.52 = 207,832.56/x
  3. Step 3: Cross multiply
    586,927.12x = 880,367.52 × 207,832.56
  4. Step 4: Simplify right side
    586,927.12x = 182,969,035,422.45
  5. Step 5: Solve for x
    x = 182,969,035,422.45/586,927.12
  6. Step 6: Final answer
    x = 311,740.64

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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.