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Finding the Fourth Proportional to 525,374.73, 725,061.80 and 295,977.06

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Solution

The fourth proportional to 525,374.73, 725,061.80 and 295,977.06 is: 408,473.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,374.73 : 725,061.80 = 295,977.06 : x
  2. Step 2: Convert to fraction form
    525,374.73/725,061.80 = 295,977.06/x
  3. Step 3: Cross multiply
    525,374.73x = 725,061.80 × 295,977.06
  4. Step 4: Simplify right side
    525,374.73x = 214,601,658,402.42
  5. Step 5: Solve for x
    x = 214,601,658,402.42/525,374.73
  6. Step 6: Final answer
    x = 408,473.51

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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.