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Finding the Fourth Proportional to 469,713.60, 704,697.52 and 334,947.94

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Solution

The fourth proportional to 469,713.60, 704,697.52 and 334,947.94 is: 502,512.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,713.60 : 704,697.52 = 334,947.94 : x
  2. Step 2: Convert to fraction form
    469,713.60/704,697.52 = 334,947.94/x
  3. Step 3: Cross multiply
    469,713.60x = 704,697.52 × 334,947.94
  4. Step 4: Simplify right side
    469,713.60x = 236,036,982,647.11
  5. Step 5: Solve for x
    x = 236,036,982,647.11/469,713.60
  6. Step 6: Final answer
    x = 502,512.56

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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.