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Finding the Fourth Proportional to 476,830.98, 715,088.52 and 192,448.08

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Solution

The fourth proportional to 476,830.98, 715,088.52 and 192,448.08 is: 288,608.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,830.98 : 715,088.52 = 192,448.08 : x
  2. Step 2: Convert to fraction form
    476,830.98/715,088.52 = 192,448.08/x
  3. Step 3: Cross multiply
    476,830.98x = 715,088.52 × 192,448.08
  4. Step 4: Simplify right side
    476,830.98x = 137,617,412,704.04
  5. Step 5: Solve for x
    x = 137,617,412,704.04/476,830.98
  6. Step 6: Final answer
    x = 288,608.37

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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.