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Finding the Fourth Proportional to 517,677.39, 714,388.02 and 299,915.76

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Solution

The fourth proportional to 517,677.39, 714,388.02 and 299,915.76 is: 413,879.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,677.39 : 714,388.02 = 299,915.76 : x
  2. Step 2: Convert to fraction form
    517,677.39/714,388.02 = 299,915.76/x
  3. Step 3: Cross multiply
    517,677.39x = 714,388.02 × 299,915.76
  4. Step 4: Simplify right side
    517,677.39x = 214,256,225,953.20
  5. Step 5: Solve for x
    x = 214,256,225,953.20/517,677.39
  6. Step 6: Final answer
    x = 413,879.82

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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.