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Finding the Fourth Proportional to 514,107.81, 771,319.36 and 230,037.47

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Solution

The fourth proportional to 514,107.81, 771,319.36 and 230,037.47 is: 345,126.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,107.81 : 771,319.36 = 230,037.47 : x
  2. Step 2: Convert to fraction form
    514,107.81/771,319.36 = 230,037.47/x
  3. Step 3: Cross multiply
    514,107.81x = 771,319.36 × 230,037.47
  4. Step 4: Simplify right side
    514,107.81x = 177,432,353,459.82
  5. Step 5: Solve for x
    x = 177,432,353,459.82/514,107.81
  6. Step 6: Final answer
    x = 345,126.74

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1.5x scale

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.