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Finding the Fourth Proportional to 650,767.26, 898,009.61 and 360,377.40

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Solution

The fourth proportional to 650,767.26, 898,009.61 and 360,377.40 is: 497,293.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,767.26 : 898,009.61 = 360,377.40 : x
  2. Step 2: Convert to fraction form
    650,767.26/898,009.61 = 360,377.40/x
  3. Step 3: Cross multiply
    650,767.26x = 898,009.61 × 360,377.40
  4. Step 4: Simplify right side
    650,767.26x = 323,622,368,426.81
  5. Step 5: Solve for x
    x = 323,622,368,426.81/650,767.26
  6. Step 6: Final answer
    x = 497,293.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.