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Finding the Fourth Proportional to 867,340.13, 1,300,308.99 and 362,288.02

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Solution

The fourth proportional to 867,340.13, 1,300,308.99 and 362,288.02 is: 543,139.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    867,340.13 : 1,300,308.99 = 362,288.02 : x
  2. Step 2: Convert to fraction form
    867,340.13/1,300,308.99 = 362,288.02/x
  3. Step 3: Cross multiply
    867,340.13x = 1,300,308.99 × 362,288.02
  4. Step 4: Simplify right side
    867,340.13x = 471,086,369,375.30
  5. Step 5: Solve for x
    x = 471,086,369,375.30/867,340.13
  6. Step 6: Final answer
    x = 543,139.14

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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.