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Finding the Fourth Proportional to 708,133.38, 977,224.17 and 385,843.51

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Solution

The fourth proportional to 708,133.38, 977,224.17 and 385,843.51 is: 532,464.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,133.38 : 977,224.17 = 385,843.51 : x
  2. Step 2: Convert to fraction form
    708,133.38/977,224.17 = 385,843.51/x
  3. Step 3: Cross multiply
    708,133.38x = 977,224.17 × 385,843.51
  4. Step 4: Simplify right side
    708,133.38x = 377,055,603,809.64
  5. Step 5: Solve for x
    x = 377,055,603,809.64/708,133.38
  6. Step 6: Final answer
    x = 532,464.10

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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.