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Finding the Fourth Proportional to 520,032.25, 717,715.76 and 299,264.98

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Solution

The fourth proportional to 520,032.25, 717,715.76 and 299,264.98 is: 413,026.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,032.25 : 717,715.76 = 299,264.98 : x
  2. Step 2: Convert to fraction form
    520,032.25/717,715.76 = 299,264.98/x
  3. Step 3: Cross multiply
    520,032.25x = 717,715.76 × 299,264.98
  4. Step 4: Simplify right side
    520,032.25x = 214,787,192,562.09
  5. Step 5: Solve for x
    x = 214,787,192,562.09/520,032.25
  6. Step 6: Final answer
    x = 413,026.68

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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.