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Finding the Fourth Proportional to 596,510.96, 823,204.56 and 341,910.20

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Solution

The fourth proportional to 596,510.96, 823,204.56 and 341,910.20 is: 471,847.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,510.96 : 823,204.56 = 341,910.20 : x
  2. Step 2: Convert to fraction form
    596,510.96/823,204.56 = 341,910.20/x
  3. Step 3: Cross multiply
    596,510.96x = 823,204.56 × 341,910.20
  4. Step 4: Simplify right side
    596,510.96x = 281,462,035,750.51
  5. Step 5: Solve for x
    x = 281,462,035,750.51/596,510.96
  6. Step 6: Final answer
    x = 471,847.22

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Double scale
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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.