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Finding the Fourth Proportional to 288,085.20, 432,127.80 and 257,758.80

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Solution

The fourth proportional to 288,085.20, 432,127.80 and 257,758.80 is: 386,638.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,085.20 : 432,127.80 = 257,758.80 : x
  2. Step 2: Convert to fraction form
    288,085.20/432,127.80 = 257,758.80/x
  3. Step 3: Cross multiply
    288,085.20x = 432,127.80 × 257,758.80
  4. Step 4: Simplify right side
    288,085.20x = 111,384,743,174.64
  5. Step 5: Solve for x
    x = 111,384,743,174.64/288,085.20
  6. Step 6: Final answer
    x = 386,638.20

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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.