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Finding the Fourth Proportional to 362,345.48, 500,082.90 and 219,106.54

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Solution

The fourth proportional to 362,345.48, 500,082.90 and 219,106.54 is: 302,394.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,345.48 : 500,082.90 = 219,106.54 : x
  2. Step 2: Convert to fraction form
    362,345.48/500,082.90 = 219,106.54/x
  3. Step 3: Cross multiply
    362,345.48x = 500,082.90 × 219,106.54
  4. Step 4: Simplify right side
    362,345.48x = 109,571,433,932.17
  5. Step 5: Solve for x
    x = 109,571,433,932.17/362,345.48
  6. Step 6: Final answer
    x = 302,394.92

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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.