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Finding the Fourth Proportional to 334,881.40, 502,403.10 and 98,231.80

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Solution

The fourth proportional to 334,881.40, 502,403.10 and 98,231.80 is: 147,371.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,881.40 : 502,403.10 = 98,231.80 : x
  2. Step 2: Convert to fraction form
    334,881.40/502,403.10 = 98,231.80/x
  3. Step 3: Cross multiply
    334,881.40x = 502,403.10 × 98,231.80
  4. Step 4: Simplify right side
    334,881.40x = 49,351,960,838.58
  5. Step 5: Solve for x
    x = 49,351,960,838.58/334,881.40
  6. Step 6: Final answer
    x = 147,371.46

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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.