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Finding the Fourth Proportional to 402,984.96, 604,455.57 and 122,480.34

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Solution

The fourth proportional to 402,984.96, 604,455.57 and 122,480.34 is: 183,713.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,984.96 : 604,455.57 = 122,480.34 : x
  2. Step 2: Convert to fraction form
    402,984.96/604,455.57 = 122,480.34/x
  3. Step 3: Cross multiply
    402,984.96x = 604,455.57 × 122,480.34
  4. Step 4: Simplify right side
    402,984.96x = 74,033,926,454.50
  5. Step 5: Solve for x
    x = 74,033,926,454.50/402,984.96
  6. Step 6: Final answer
    x = 183,713.87

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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.