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Finding the Fourth Proportional to 380,488.68, 570,820.49 and 114,254.24

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Solution

The fourth proportional to 380,488.68, 570,820.49 and 114,254.24 is: 171,407.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,488.68 : 570,820.49 = 114,254.24 : x
  2. Step 2: Convert to fraction form
    380,488.68/570,820.49 = 114,254.24/x
  3. Step 3: Cross multiply
    380,488.68x = 570,820.49 × 114,254.24
  4. Step 4: Simplify right side
    380,488.68x = 65,218,658,692.91
  5. Step 5: Solve for x
    x = 65,218,658,692.91/380,488.68
  6. Step 6: Final answer
    x = 171,407.62

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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.