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Finding the Fourth Proportional to 650,042.30, 974,674.65 and 335,114.30

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Solution

The fourth proportional to 650,042.30, 974,674.65 and 335,114.30 is: 502,471.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,042.30 : 974,674.65 = 335,114.30 : x
  2. Step 2: Convert to fraction form
    650,042.30/974,674.65 = 335,114.30/x
  3. Step 3: Cross multiply
    650,042.30x = 974,674.65 × 335,114.30
  4. Step 4: Simplify right side
    650,042.30x = 326,627,413,062.50
  5. Step 5: Solve for x
    x = 326,627,413,062.50/650,042.30
  6. Step 6: Final answer
    x = 502,471.01

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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.