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Finding the Fourth Proportional to 257,599.40, 386,219.10 and 152,364.20

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Solution

The fourth proportional to 257,599.40, 386,219.10 and 152,364.20 is: 228,439.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,599.40 : 386,219.10 = 152,364.20 : x
  2. Step 2: Convert to fraction form
    257,599.40/386,219.10 = 152,364.20/x
  3. Step 3: Cross multiply
    257,599.40x = 386,219.10 × 152,364.20
  4. Step 4: Simplify right side
    257,599.40x = 58,845,964,196.22
  5. Step 5: Solve for x
    x = 58,845,964,196.22/257,599.40
  6. Step 6: Final answer
    x = 228,439.83

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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.