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Finding the Fourth Proportional to 296,514.84, 409,188.75 and 160,545.98

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Solution

The fourth proportional to 296,514.84, 409,188.75 and 160,545.98 is: 221,552.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,514.84 : 409,188.75 = 160,545.98 : x
  2. Step 2: Convert to fraction form
    296,514.84/409,188.75 = 160,545.98/x
  3. Step 3: Cross multiply
    296,514.84x = 409,188.75 × 160,545.98
  4. Step 4: Simplify right side
    296,514.84x = 65,693,606,827.78
  5. Step 5: Solve for x
    x = 65,693,606,827.78/296,514.84
  6. Step 6: Final answer
    x = 221,552.51

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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.