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Finding the Fourth Proportional to 776,334, 1,164,501.54 and 215,369.04

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Solution

The fourth proportional to 776,334, 1,164,501.54 and 215,369.04 is: 323,053.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,334 : 1,164,501.54 = 215,369.04 : x
  2. Step 2: Convert to fraction form
    776,334/1,164,501.54 = 215,369.04/x
  3. Step 3: Cross multiply
    776,334x = 1,164,501.54 × 215,369.04
  4. Step 4: Simplify right side
    776,334x = 250,797,578,748.32
  5. Step 5: Solve for x
    x = 250,797,578,748.32/776,334
  6. Step 6: Final answer
    x = 323,053.71

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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.