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Finding the Fourth Proportional to 307,702.40, 461,601.12 and 130,210.40

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Solution

The fourth proportional to 307,702.40, 461,601.12 and 130,210.40 is: 195,335.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,702.40 : 461,601.12 = 130,210.40 : x
  2. Step 2: Convert to fraction form
    307,702.40/461,601.12 = 130,210.40/x
  3. Step 3: Cross multiply
    307,702.40x = 461,601.12 × 130,210.40
  4. Step 4: Simplify right side
    307,702.40x = 60,105,266,475.65
  5. Step 5: Solve for x
    x = 60,105,266,475.65/307,702.40
  6. Step 6: Final answer
    x = 195,335.71

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1.5x scale

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.