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Finding the Fourth Proportional to 334,865.28, 462,114 and 183,962.16

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Solution

The fourth proportional to 334,865.28, 462,114 and 183,962.16 is: 253,867.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,865.28 : 462,114 = 183,962.16 : x
  2. Step 2: Convert to fraction form
    334,865.28/462,114 = 183,962.16/x
  3. Step 3: Cross multiply
    334,865.28x = 462,114 × 183,962.16
  4. Step 4: Simplify right side
    334,865.28x = 85,011,489,606.24
  5. Step 5: Solve for x
    x = 85,011,489,606.24/334,865.28
  6. Step 6: Final answer
    x = 253,867.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.