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Finding the Fourth Proportional to 937,364, 1,406,048.16 and 338,748

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Solution

The fourth proportional to 937,364, 1,406,048.16 and 338,748 is: 508,122.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    937,364 : 1,406,048.16 = 338,748 : x
  2. Step 2: Convert to fraction form
    937,364/1,406,048.16 = 338,748/x
  3. Step 3: Cross multiply
    937,364x = 1,406,048.16 × 338,748
  4. Step 4: Simplify right side
    937,364x = 476,296,002,103.68
  5. Step 5: Solve for x
    x = 476,296,002,103.68/937,364
  6. Step 6: Final answer
    x = 508,122.78

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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.