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Finding the Fourth Proportional to 650,441.79, 974,950.96 and 334,917.63

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Solution

The fourth proportional to 650,441.79, 974,950.96 and 334,917.63 is: 502,009.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,441.79 : 974,950.96 = 334,917.63 : x
  2. Step 2: Convert to fraction form
    650,441.79/974,950.96 = 334,917.63/x
  3. Step 3: Cross multiply
    650,441.79x = 974,950.96 × 334,917.63
  4. Step 4: Simplify right side
    650,441.79x = 326,528,264,889.43
  5. Step 5: Solve for x
    x = 326,528,264,889.43/650,441.79
  6. Step 6: Final answer
    x = 502,009.97

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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.