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Finding the Fourth Proportional to 517,609.50, 714,050.69 and 333,799.52

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Solution

The fourth proportional to 517,609.50, 714,050.69 and 333,799.52 is: 460,481.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,609.50 : 714,050.69 = 333,799.52 : x
  2. Step 2: Convert to fraction form
    517,609.50/714,050.69 = 333,799.52/x
  3. Step 3: Cross multiply
    517,609.50x = 714,050.69 × 333,799.52
  4. Step 4: Simplify right side
    517,609.50x = 238,349,772,338.42
  5. Step 5: Solve for x
    x = 238,349,772,338.42/517,609.50
  6. Step 6: Final answer
    x = 460,481.83

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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.