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Finding the Fourth Proportional to 511,803.60, 767,841.52 and 174,843.76

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Solution

The fourth proportional to 511,803.60, 767,841.52 and 174,843.76 is: 262,312.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,803.60 : 767,841.52 = 174,843.76 : x
  2. Step 2: Convert to fraction form
    511,803.60/767,841.52 = 174,843.76/x
  3. Step 3: Cross multiply
    511,803.60x = 767,841.52 × 174,843.76
  4. Step 4: Simplify right side
    511,803.60x = 134,252,298,440.92
  5. Step 5: Solve for x
    x = 134,252,298,440.92/511,803.60
  6. Step 6: Final answer
    x = 262,312.14

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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.