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Finding the Fourth Proportional to 224,095.80, 313,967.40 and 224,095.80

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Solution

The fourth proportional to 224,095.80, 313,967.40 and 224,095.80 is: 313,967.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,095.80 : 313,967.40 = 224,095.80 : x
  2. Step 2: Convert to fraction form
    224,095.80/313,967.40 = 224,095.80/x
  3. Step 3: Cross multiply
    224,095.80x = 313,967.40 × 224,095.80
  4. Step 4: Simplify right side
    224,095.80x = 70,358,775,676.92
  5. Step 5: Solve for x
    x = 70,358,775,676.92/224,095.80
  6. Step 6: Final answer
    x = 313,967.40

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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.