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Finding the Fourth Proportional to 543,519.84, 750,078.96 and 314,069.52

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Solution

The fourth proportional to 543,519.84, 750,078.96 and 314,069.52 is: 433,428.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,519.84 : 750,078.96 = 314,069.52 : x
  2. Step 2: Convert to fraction form
    543,519.84/750,078.96 = 314,069.52/x
  3. Step 3: Cross multiply
    543,519.84x = 750,078.96 × 314,069.52
  4. Step 4: Simplify right side
    543,519.84x = 235,576,938,929.30
  5. Step 5: Solve for x
    x = 235,576,938,929.30/543,519.84
  6. Step 6: Final answer
    x = 433,428.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.