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Finding the Fourth Proportional to 520,052.15, 729,647.65 and 520,052.15

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Solution

The fourth proportional to 520,052.15, 729,647.65 and 520,052.15 is: 729,647.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,052.15 : 729,647.65 = 520,052.15 : x
  2. Step 2: Convert to fraction form
    520,052.15/729,647.65 = 520,052.15/x
  3. Step 3: Cross multiply
    520,052.15x = 729,647.65 × 520,052.15
  4. Step 4: Simplify right side
    520,052.15x = 379,454,829,124.95
  5. Step 5: Solve for x
    x = 379,454,829,124.95/520,052.15
  6. Step 6: Final answer
    x = 729,647.65

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.