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Finding the Fourth Proportional to 351,097.40, 525,110.10 and 313,926.20

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Solution

The fourth proportional to 351,097.40, 525,110.10 and 313,926.20 is: 469,515.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,097.40 : 525,110.10 = 313,926.20 : x
  2. Step 2: Convert to fraction form
    351,097.40/525,110.10 = 313,926.20/x
  3. Step 3: Cross multiply
    351,097.40x = 525,110.10 × 313,926.20
  4. Step 4: Simplify right side
    351,097.40x = 164,845,818,274.62
  5. Step 5: Solve for x
    x = 164,845,818,274.62/351,097.40
  6. Step 6: Final answer
    x = 469,515.92

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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.