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Finding the Fourth Proportional to 501,763.66, 692,408.59 and 297,823.48

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Solution

The fourth proportional to 501,763.66, 692,408.59 and 297,823.48 is: 410,981.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,763.66 : 692,408.59 = 297,823.48 : x
  2. Step 2: Convert to fraction form
    501,763.66/692,408.59 = 297,823.48/x
  3. Step 3: Cross multiply
    501,763.66x = 692,408.59 × 297,823.48
  4. Step 4: Simplify right side
    501,763.66x = 206,215,533,380.11
  5. Step 5: Solve for x
    x = 206,215,533,380.11/501,763.66
  6. Step 6: Final answer
    x = 410,981.41

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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.