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Finding the Fourth Proportional to 525,711.50, 725,482.51 and 283,994.06

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Solution

The fourth proportional to 525,711.50, 725,482.51 and 283,994.06 is: 391,912.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,711.50 : 725,482.51 = 283,994.06 : x
  2. Step 2: Convert to fraction form
    525,711.50/725,482.51 = 283,994.06/x
  3. Step 3: Cross multiply
    525,711.50x = 725,482.51 × 283,994.06
  4. Step 4: Simplify right side
    525,711.50x = 206,032,723,473.89
  5. Step 5: Solve for x
    x = 206,032,723,473.89/525,711.50
  6. Step 6: Final answer
    x = 391,912.15

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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.