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Finding the Fourth Proportional to 265,070.40, 396,824.40 and 174,946.86

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Solution

The fourth proportional to 265,070.40, 396,824.40 and 174,946.86 is: 261,904.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,070.40 : 396,824.40 = 174,946.86 : x
  2. Step 2: Convert to fraction form
    265,070.40/396,824.40 = 174,946.86/x
  3. Step 3: Cross multiply
    265,070.40x = 396,824.40 × 174,946.86
  4. Step 4: Simplify right side
    265,070.40x = 69,423,182,751.38
  5. Step 5: Solve for x
    x = 69,423,182,751.38/265,070.40
  6. Step 6: Final answer
    x = 261,904.70

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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.