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Finding the Fourth Proportional to 407,927.64, 611,799.06 and 155,118

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Solution

The fourth proportional to 407,927.64, 611,799.06 and 155,118 is: 232,641.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,927.64 : 611,799.06 = 155,118 : x
  2. Step 2: Convert to fraction form
    407,927.64/611,799.06 = 155,118/x
  3. Step 3: Cross multiply
    407,927.64x = 611,799.06 × 155,118
  4. Step 4: Simplify right side
    407,927.64x = 94,901,046,589.08
  5. Step 5: Solve for x
    x = 94,901,046,589.08/407,927.64
  6. Step 6: Final answer
    x = 232,641.86

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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.