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Finding the Fourth Proportional to 650,443.79, 974,953.96 and 334,919.63

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Solution

The fourth proportional to 650,443.79, 974,953.96 and 334,919.63 is: 502,012.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,443.79 : 974,953.96 = 334,919.63 : x
  2. Step 2: Convert to fraction form
    650,443.79/974,953.96 = 334,919.63/x
  3. Step 3: Cross multiply
    650,443.79x = 974,953.96 × 334,919.63
  4. Step 4: Simplify right side
    650,443.79x = 326,531,219,550.24
  5. Step 5: Solve for x
    x = 326,531,219,550.24/650,443.79
  6. Step 6: Final answer
    x = 502,012.97

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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.