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Finding the Fourth Proportional to 525,394.23, 725,061.83 and 310,718.31

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Solution

The fourth proportional to 525,394.23, 725,061.83 and 310,718.31 is: 428,801.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,394.23 : 725,061.83 = 310,718.31 : x
  2. Step 2: Convert to fraction form
    525,394.23/725,061.83 = 310,718.31/x
  3. Step 3: Cross multiply
    525,394.23x = 725,061.83 × 310,718.31
  4. Step 4: Simplify right side
    525,394.23x = 225,289,984,909.52
  5. Step 5: Solve for x
    x = 225,289,984,909.52/525,394.23
  6. Step 6: Final answer
    x = 428,801.79

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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.