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Finding the Fourth Proportional to 382,535.61, 527,888.19 and 208,100.34

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Solution

The fourth proportional to 382,535.61, 527,888.19 and 208,100.34 is: 287,172.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,535.61 : 527,888.19 = 208,100.34 : x
  2. Step 2: Convert to fraction form
    382,535.61/527,888.19 = 208,100.34/x
  3. Step 3: Cross multiply
    382,535.61x = 527,888.19 × 208,100.34
  4. Step 4: Simplify right side
    382,535.61x = 109,853,711,430.80
  5. Step 5: Solve for x
    x = 109,853,711,430.80/382,535.61
  6. Step 6: Final answer
    x = 287,172.51

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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.