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Finding the Fourth Proportional to 410,463.80, 615,638.10 and 130,009.40

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Solution

The fourth proportional to 410,463.80, 615,638.10 and 130,009.40 is: 194,995.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,463.80 : 615,638.10 = 130,009.40 : x
  2. Step 2: Convert to fraction form
    410,463.80/615,638.10 = 130,009.40/x
  3. Step 3: Cross multiply
    410,463.80x = 615,638.10 × 130,009.40
  4. Step 4: Simplify right side
    410,463.80x = 80,038,739,998.14
  5. Step 5: Solve for x
    x = 80,038,739,998.14/410,463.80
  6. Step 6: Final answer
    x = 194,995.86

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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.