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Finding the Fourth Proportional to 312,828.30, 469,242.45 and 273,462.30

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Solution

The fourth proportional to 312,828.30, 469,242.45 and 273,462.30 is: 410,193.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,828.30 : 469,242.45 = 273,462.30 : x
  2. Step 2: Convert to fraction form
    312,828.30/469,242.45 = 273,462.30/x
  3. Step 3: Cross multiply
    312,828.30x = 469,242.45 × 273,462.30
  4. Step 4: Simplify right side
    312,828.30x = 128,320,119,634.64
  5. Step 5: Solve for x
    x = 128,320,119,634.64/312,828.30
  6. Step 6: Final answer
    x = 410,193.45

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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.