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Finding the Fourth Proportional to 296,484.12, 409,151.39 and 160,521.03

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Solution

The fourth proportional to 296,484.12, 409,151.39 and 160,521.03 is: 221,520.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,484.12 : 409,151.39 = 160,521.03 : x
  2. Step 2: Convert to fraction form
    296,484.12/409,151.39 = 160,521.03/x
  3. Step 3: Cross multiply
    296,484.12x = 409,151.39 × 160,521.03
  4. Step 4: Simplify right side
    296,484.12x = 65,677,401,746.13
  5. Step 5: Solve for x
    x = 65,677,401,746.13/296,484.12
  6. Step 6: Final answer
    x = 221,520.81

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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.