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Finding the Fourth Proportional to 501,763.29, 692,408.07 and 297,823.11

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Solution

The fourth proportional to 501,763.29, 692,408.07 and 297,823.11 is: 410,980.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,763.29 : 692,408.07 = 297,823.11 : x
  2. Step 2: Convert to fraction form
    501,763.29/692,408.07 = 297,823.11/x
  3. Step 3: Cross multiply
    501,763.29x = 692,408.07 × 297,823.11
  4. Step 4: Simplify right side
    501,763.29x = 206,215,124,796.50
  5. Step 5: Solve for x
    x = 206,215,124,796.50/501,763.29
  6. Step 6: Final answer
    x = 410,980.89

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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.