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Finding the Fourth Proportional to 213,624.72, 320,455.28 and 55,852.92

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Solution

The fourth proportional to 213,624.72, 320,455.28 and 55,852.92 is: 83,784.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,624.72 : 320,455.28 = 55,852.92 : x
  2. Step 2: Convert to fraction form
    213,624.72/320,455.28 = 55,852.92/x
  3. Step 3: Cross multiply
    213,624.72x = 320,455.28 × 55,852.92
  4. Step 4: Simplify right side
    213,624.72x = 17,898,363,117.42
  5. Step 5: Solve for x
    x = 17,898,363,117.42/213,624.72
  6. Step 6: Final answer
    x = 83,784.14

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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.