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Finding the Fourth Proportional to 257,594, 355,358.76 and 182,184.08

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Solution

The fourth proportional to 257,594, 355,358.76 and 182,184.08 is: 251,328.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,594 : 355,358.76 = 182,184.08 : x
  2. Step 2: Convert to fraction form
    257,594/355,358.76 = 182,184.08/x
  3. Step 3: Cross multiply
    257,594x = 355,358.76 × 182,184.08
  4. Step 4: Simplify right side
    257,594x = 64,740,708,760.54
  5. Step 5: Solve for x
    x = 64,740,708,760.54/257,594
  6. Step 6: Final answer
    x = 251,328.48

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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.