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Finding the Fourth Proportional to 423,045.76, 634,762.41 and 183,233

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Solution

The fourth proportional to 423,045.76, 634,762.41 and 183,233 is: 274,933.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,045.76 : 634,762.41 = 183,233 : x
  2. Step 2: Convert to fraction form
    423,045.76/634,762.41 = 183,233/x
  3. Step 3: Cross multiply
    423,045.76x = 634,762.41 × 183,233
  4. Step 4: Simplify right side
    423,045.76x = 116,309,420,671.53
  5. Step 5: Solve for x
    x = 116,309,420,671.53/423,045.76
  6. Step 6: Final answer
    x = 274,933.43

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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.