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Finding the Fourth Proportional to 513,657.74, 708,809.19 and 287,259.50

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Solution

The fourth proportional to 513,657.74, 708,809.19 and 287,259.50 is: 396,396.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,657.74 : 708,809.19 = 287,259.50 : x
  2. Step 2: Convert to fraction form
    513,657.74/708,809.19 = 287,259.50/x
  3. Step 3: Cross multiply
    513,657.74x = 708,809.19 × 287,259.50
  4. Step 4: Simplify right side
    513,657.74x = 203,612,173,514.81
  5. Step 5: Solve for x
    x = 203,612,173,514.81/513,657.74
  6. Step 6: Final answer
    x = 396,396.58

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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.