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Finding the Fourth Proportional to 525,889, 725,726.82 and 299,665.72

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Solution

The fourth proportional to 525,889, 725,726.82 and 299,665.72 is: 413,538.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,889 : 725,726.82 = 299,665.72 : x
  2. Step 2: Convert to fraction form
    525,889/725,726.82 = 299,665.72/x
  3. Step 3: Cross multiply
    525,889x = 725,726.82 × 299,665.72
  4. Step 4: Simplify right side
    525,889x = 217,475,450,038.61
  5. Step 5: Solve for x
    x = 217,475,450,038.61/525,889
  6. Step 6: Final answer
    x = 413,538.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.