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Finding the Fourth Proportional to 568,931.18, 785,096.16 and 314,233.16

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Solution

The fourth proportional to 568,931.18, 785,096.16 and 314,233.16 is: 433,625.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,931.18 : 785,096.16 = 314,233.16 : x
  2. Step 2: Convert to fraction form
    568,931.18/785,096.16 = 314,233.16/x
  3. Step 3: Cross multiply
    568,931.18x = 785,096.16 × 314,233.16
  4. Step 4: Simplify right side
    568,931.18x = 246,703,247,260.67
  5. Step 5: Solve for x
    x = 246,703,247,260.67/568,931.18
  6. Step 6: Final answer
    x = 433,625.82

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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.