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Finding the Fourth Proportional to 414,316.38, 621,482.94 and 130,000.98

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Solution

The fourth proportional to 414,316.38, 621,482.94 and 130,000.98 is: 195,004.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,316.38 : 621,482.94 = 130,000.98 : x
  2. Step 2: Convert to fraction form
    414,316.38/621,482.94 = 130,000.98/x
  3. Step 3: Cross multiply
    414,316.38x = 621,482.94 × 130,000.98
  4. Step 4: Simplify right side
    414,316.38x = 80,793,391,253.28
  5. Step 5: Solve for x
    x = 80,793,391,253.28/414,316.38
  6. Step 6: Final answer
    x = 195,004.10

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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.