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Finding the Fourth Proportional to 257,022.80, 386,455.80 and 216,472.40

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Solution

The fourth proportional to 257,022.80, 386,455.80 and 216,472.40 is: 325,484.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,022.80 : 386,455.80 = 216,472.40 : x
  2. Step 2: Convert to fraction form
    257,022.80/386,455.80 = 216,472.40/x
  3. Step 3: Cross multiply
    257,022.80x = 386,455.80 × 216,472.40
  4. Step 4: Simplify right side
    257,022.80x = 83,657,014,519.92
  5. Step 5: Solve for x
    x = 83,657,014,519.92/257,022.80
  6. Step 6: Final answer
    x = 325,484.80

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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.