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Finding the Fourth Proportional to 399,228.40, 598,925.80 and 133,071.60

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Solution

The fourth proportional to 399,228.40, 598,925.80 and 133,071.60 is: 199,635.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,228.40 : 598,925.80 = 133,071.60 : x
  2. Step 2: Convert to fraction form
    399,228.40/598,925.80 = 133,071.60/x
  3. Step 3: Cross multiply
    399,228.40x = 598,925.80 × 133,071.60
  4. Step 4: Simplify right side
    399,228.40x = 79,700,014,487.28
  5. Step 5: Solve for x
    x = 79,700,014,487.28/399,228.40
  6. Step 6: Final answer
    x = 199,635.13

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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.