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Finding the Fourth Proportional to 224,070.30, 313,931.70 and 224,070.30

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Solution

The fourth proportional to 224,070.30, 313,931.70 and 224,070.30 is: 313,931.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,070.30 : 313,931.70 = 224,070.30 : x
  2. Step 2: Convert to fraction form
    224,070.30/313,931.70 = 224,070.30/x
  3. Step 3: Cross multiply
    224,070.30x = 313,931.70 × 224,070.30
  4. Step 4: Simplify right side
    224,070.30x = 70,342,770,198.51
  5. Step 5: Solve for x
    x = 70,342,770,198.51/224,070.30
  6. Step 6: Final answer
    x = 313,931.70

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1.5x scale

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.