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Finding the Fourth Proportional to 257,514, 385,820.58 and 178,678.32

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Solution

The fourth proportional to 257,514, 385,820.58 and 178,678.32 is: 267,704.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,514 : 385,820.58 = 178,678.32 : x
  2. Step 2: Convert to fraction form
    257,514/385,820.58 = 178,678.32/x
  3. Step 3: Cross multiply
    257,514x = 385,820.58 × 178,678.32
  4. Step 4: Simplify right side
    257,514x = 68,937,773,055.83
  5. Step 5: Solve for x
    x = 68,937,773,055.83/257,514
  6. Step 6: Final answer
    x = 267,704.95

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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.