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Finding the Fourth Proportional to 310,267.84, 465,248.48 and 182,216.24

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Solution

The fourth proportional to 310,267.84, 465,248.48 and 182,216.24 is: 273,234.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,267.84 : 465,248.48 = 182,216.24 : x
  2. Step 2: Convert to fraction form
    310,267.84/465,248.48 = 182,216.24/x
  3. Step 3: Cross multiply
    310,267.84x = 465,248.48 × 182,216.24
  4. Step 4: Simplify right side
    310,267.84x = 84,775,828,691.32
  5. Step 5: Solve for x
    x = 84,775,828,691.32/310,267.84
  6. Step 6: Final answer
    x = 273,234.34

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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.