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Finding the Fourth Proportional to 362,462.24, 500,208.72 and 219,248.48

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Solution

The fourth proportional to 362,462.24, 500,208.72 and 219,248.48 is: 302,569.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,462.24 : 500,208.72 = 219,248.48 : x
  2. Step 2: Convert to fraction form
    362,462.24/500,208.72 = 219,248.48/x
  3. Step 3: Cross multiply
    362,462.24x = 500,208.72 × 219,248.48
  4. Step 4: Simplify right side
    362,462.24x = 109,670,001,542.75
  5. Step 5: Solve for x
    x = 109,670,001,542.75/362,462.24
  6. Step 6: Final answer
    x = 302,569.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.