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Finding the Fourth Proportional to 376,596, 564,893.48 and 96,113.24

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Solution

The fourth proportional to 376,596, 564,893.48 and 96,113.24 is: 144,169.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,596 : 564,893.48 = 96,113.24 : x
  2. Step 2: Convert to fraction form
    376,596/564,893.48 = 96,113.24/x
  3. Step 3: Cross multiply
    376,596x = 564,893.48 × 96,113.24
  4. Step 4: Simplify right side
    376,596x = 54,293,742,617.68
  5. Step 5: Solve for x
    x = 54,293,742,617.68/376,596
  6. Step 6: Final answer
    x = 144,169.73

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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.