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Finding the Fourth Proportional to 296,511.91, 409,187.23 and 160,547.54

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Solution

The fourth proportional to 296,511.91, 409,187.23 and 160,547.54 is: 221,556.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,511.91 : 409,187.23 = 160,547.54 : x
  2. Step 2: Convert to fraction form
    296,511.91/409,187.23 = 160,547.54/x
  3. Step 3: Cross multiply
    296,511.91x = 409,187.23 × 160,547.54
  4. Step 4: Simplify right side
    296,511.91x = 65,694,000,728.61
  5. Step 5: Solve for x
    x = 65,694,000,728.61/296,511.91
  6. Step 6: Final answer
    x = 221,556.03

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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.