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Finding the Fourth Proportional to 547,967.51, 822,017.69 and 192,908.87

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Solution

The fourth proportional to 547,967.51, 822,017.69 and 192,908.87 is: 289,386.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,967.51 : 822,017.69 = 192,908.87 : x
  2. Step 2: Convert to fraction form
    547,967.51/822,017.69 = 192,908.87/x
  3. Step 3: Cross multiply
    547,967.51x = 822,017.69 × 192,908.87
  4. Step 4: Simplify right side
    547,967.51x = 158,574,503,697.91
  5. Step 5: Solve for x
    x = 158,574,503,697.91/547,967.51
  6. Step 6: Final answer
    x = 289,386.69

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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.