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Finding the Fourth Proportional to 402,537.89, 555,989.46 and 293,469.50

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Solution

The fourth proportional to 402,537.89, 555,989.46 and 293,469.50 is: 405,343.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,537.89 : 555,989.46 = 293,469.50 : x
  2. Step 2: Convert to fraction form
    402,537.89/555,989.46 = 293,469.50/x
  3. Step 3: Cross multiply
    402,537.89x = 555,989.46 × 293,469.50
  4. Step 4: Simplify right side
    402,537.89x = 163,165,948,831.47
  5. Step 5: Solve for x
    x = 163,165,948,831.47/402,537.89
  6. Step 6: Final answer
    x = 405,343.08

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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.