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Finding the Fourth Proportional to 532,463.60, 799,080.78 and 208,299.51

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Solution

The fourth proportional to 532,463.60, 799,080.78 and 208,299.51 is: 312,600.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,463.60 : 799,080.78 = 208,299.51 : x
  2. Step 2: Convert to fraction form
    532,463.60/799,080.78 = 208,299.51/x
  3. Step 3: Cross multiply
    532,463.60x = 799,080.78 × 208,299.51
  4. Step 4: Simplify right side
    532,463.60x = 166,448,134,924.42
  5. Step 5: Solve for x
    x = 166,448,134,924.42/532,463.60
  6. Step 6: Final answer
    x = 312,600.03

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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.