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Finding the Fourth Proportional to 296,547.78, 409,234.08 and 160,578.90

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Solution

The fourth proportional to 296,547.78, 409,234.08 and 160,578.90 is: 221,597.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,547.78 : 409,234.08 = 160,578.90 : x
  2. Step 2: Convert to fraction form
    296,547.78/409,234.08 = 160,578.90/x
  3. Step 3: Cross multiply
    296,547.78x = 409,234.08 × 160,578.90
  4. Step 4: Simplify right side
    296,547.78x = 65,714,358,408.91
  5. Step 5: Solve for x
    x = 65,714,358,408.91/296,547.78
  6. Step 6: Final answer
    x = 221,597.88

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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.