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Finding the Fourth Proportional to 547,967.39, 822,017.50 and 192,908.75

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Solution

The fourth proportional to 547,967.39, 822,017.50 and 192,908.75 is: 289,386.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,967.39 : 822,017.50 = 192,908.75 : x
  2. Step 2: Convert to fraction form
    547,967.39/822,017.50 = 192,908.75/x
  3. Step 3: Cross multiply
    547,967.39x = 822,017.50 × 192,908.75
  4. Step 4: Simplify right side
    547,967.39x = 158,574,363,810.77
  5. Step 5: Solve for x
    x = 158,574,363,810.77/547,967.39
  6. Step 6: Final answer
    x = 289,386.50

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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.