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Finding the Fourth Proportional to 224,070.80, 313,932.40 and 224,070.80

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Solution

The fourth proportional to 224,070.80, 313,932.40 and 224,070.80 is: 313,932.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,070.80 : 313,932.40 = 224,070.80 : x
  2. Step 2: Convert to fraction form
    224,070.80/313,932.40 = 224,070.80/x
  3. Step 3: Cross multiply
    224,070.80x = 313,932.40 × 224,070.80
  4. Step 4: Simplify right side
    224,070.80x = 70,343,084,013.92
  5. Step 5: Solve for x
    x = 70,343,084,013.92/224,070.80
  6. Step 6: Final answer
    x = 313,932.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.