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Finding the Fourth Proportional to 525,780.02, 724,726.42 and 410,858.97

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Solution

The fourth proportional to 525,780.02, 724,726.42 and 410,858.97 is: 566,321.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,780.02 : 724,726.42 = 410,858.97 : x
  2. Step 2: Convert to fraction form
    525,780.02/724,726.42 = 410,858.97/x
  3. Step 3: Cross multiply
    525,780.02x = 724,726.42 × 410,858.97
  4. Step 4: Simplify right side
    525,780.02x = 297,760,348,398.69
  5. Step 5: Solve for x
    x = 297,760,348,398.69/525,780.02
  6. Step 6: Final answer
    x = 566,321.16

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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.