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Finding the Fourth Proportional to 498,544.86, 747,915.87 and 183,004.50

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Solution

The fourth proportional to 498,544.86, 747,915.87 and 183,004.50 is: 274,542.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,544.86 : 747,915.87 = 183,004.50 : x
  2. Step 2: Convert to fraction form
    498,544.86/747,915.87 = 183,004.50/x
  3. Step 3: Cross multiply
    498,544.86x = 747,915.87 × 183,004.50
  4. Step 4: Simplify right side
    498,544.86x = 136,871,969,831.42
  5. Step 5: Solve for x
    x = 136,871,969,831.42/498,544.86
  6. Step 6: Final answer
    x = 274,542.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.