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Finding the Fourth Proportional to 310,002.80, 465,004.20 and 257,514.80

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Solution

The fourth proportional to 310,002.80, 465,004.20 and 257,514.80 is: 386,272.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,002.80 : 465,004.20 = 257,514.80 : x
  2. Step 2: Convert to fraction form
    310,002.80/465,004.20 = 257,514.80/x
  3. Step 3: Cross multiply
    310,002.80x = 465,004.20 × 257,514.80
  4. Step 4: Simplify right side
    310,002.80x = 119,745,463,562.16
  5. Step 5: Solve for x
    x = 119,745,463,562.16/310,002.80
  6. Step 6: Final answer
    x = 386,272.20

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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.