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Finding the Fourth Proportional to 224,107.70, 314,538.10 and 224,107.70

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Solution

The fourth proportional to 224,107.70, 314,538.10 and 224,107.70 is: 314,538.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,107.70 : 314,538.10 = 224,107.70 : x
  2. Step 2: Convert to fraction form
    224,107.70/314,538.10 = 224,107.70/x
  3. Step 3: Cross multiply
    224,107.70x = 314,538.10 × 224,107.70
  4. Step 4: Simplify right side
    224,107.70x = 70,490,410,153.37
  5. Step 5: Solve for x
    x = 70,490,410,153.37/224,107.70
  6. Step 6: Final answer
    x = 314,538.10

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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.