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Finding the Fourth Proportional to 531,655.38, 733,698.27 and 289,948.14

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Solution

The fourth proportional to 531,655.38, 733,698.27 and 289,948.14 is: 400,135.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,655.38 : 733,698.27 = 289,948.14 : x
  2. Step 2: Convert to fraction form
    531,655.38/733,698.27 = 289,948.14/x
  3. Step 3: Cross multiply
    531,655.38x = 733,698.27 × 289,948.14
  4. Step 4: Simplify right side
    531,655.38x = 212,734,448,707.72
  5. Step 5: Solve for x
    x = 212,734,448,707.72/531,655.38
  6. Step 6: Final answer
    x = 400,135.98

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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.