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Finding the Fourth Proportional to 410,340, 615,589.80 and 157,602

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Solution

The fourth proportional to 410,340, 615,589.80 and 157,602 is: 236,433.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,340 : 615,589.80 = 157,602 : x
  2. Step 2: Convert to fraction form
    410,340/615,589.80 = 157,602/x
  3. Step 3: Cross multiply
    410,340x = 615,589.80 × 157,602
  4. Step 4: Simplify right side
    410,340x = 97,018,183,659.60
  5. Step 5: Solve for x
    x = 97,018,183,659.60/410,340
  6. Step 6: Final answer
    x = 236,433.65

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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.