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Finding the Fourth Proportional to 434,728, 652,150.32 and 185,468.32

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Solution

The fourth proportional to 434,728, 652,150.32 and 185,468.32 is: 278,227.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,728 : 652,150.32 = 185,468.32 : x
  2. Step 2: Convert to fraction form
    434,728/652,150.32 = 185,468.32/x
  3. Step 3: Cross multiply
    434,728x = 652,150.32 × 185,468.32
  4. Step 4: Simplify right side
    434,728x = 120,953,224,237.86
  5. Step 5: Solve for x
    x = 120,953,224,237.86/434,728
  6. Step 6: Final answer
    x = 278,227.36

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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.