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Finding the Fourth Proportional to 537,859.90, 742,240.56 and 296,137.54

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Solution

The fourth proportional to 537,859.90, 742,240.56 and 296,137.54 is: 408,666.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,859.90 : 742,240.56 = 296,137.54 : x
  2. Step 2: Convert to fraction form
    537,859.90/742,240.56 = 296,137.54/x
  3. Step 3: Cross multiply
    537,859.90x = 742,240.56 × 296,137.54
  4. Step 4: Simplify right side
    537,859.90x = 219,805,293,526.62
  5. Step 5: Solve for x
    x = 219,805,293,526.62/537,859.90
  6. Step 6: Final answer
    x = 408,666.45

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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.