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Finding the Fourth Proportional to 296,582.01, 409,283.55 and 160,616.18

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Solution

The fourth proportional to 296,582.01, 409,283.55 and 160,616.18 is: 221,650.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,582.01 : 409,283.55 = 160,616.18 : x
  2. Step 2: Convert to fraction form
    296,582.01/409,283.55 = 160,616.18/x
  3. Step 3: Cross multiply
    296,582.01x = 409,283.55 × 160,616.18
  4. Step 4: Simplify right side
    296,582.01x = 65,737,560,337.84
  5. Step 5: Solve for x
    x = 65,737,560,337.84/296,582.01
  6. Step 6: Final answer
    x = 221,650.53

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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.