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Finding the Fourth Proportional to 525,218.78, 724,794.68 and 295,798.43

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Solution

The fourth proportional to 525,218.78, 724,794.68 and 295,798.43 is: 408,197.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,218.78 : 724,794.68 = 295,798.43 : x
  2. Step 2: Convert to fraction form
    525,218.78/724,794.68 = 295,798.43/x
  3. Step 3: Cross multiply
    525,218.78x = 724,794.68 × 295,798.43
  4. Step 4: Simplify right side
    525,218.78x = 214,393,130,967.84
  5. Step 5: Solve for x
    x = 214,393,130,967.84/525,218.78
  6. Step 6: Final answer
    x = 408,197.76

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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.