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Finding the Fourth Proportional to 580,506.16, 871,095.54 and 243,517

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Solution

The fourth proportional to 580,506.16, 871,095.54 and 243,517 is: 365,416.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,506.16 : 871,095.54 = 243,517 : x
  2. Step 2: Convert to fraction form
    580,506.16/871,095.54 = 243,517/x
  3. Step 3: Cross multiply
    580,506.16x = 871,095.54 × 243,517
  4. Step 4: Simplify right side
    580,506.16x = 212,126,572,614.18
  5. Step 5: Solve for x
    x = 212,126,572,614.18/580,506.16
  6. Step 6: Final answer
    x = 365,416.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.