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Finding the Fourth Proportional to 601,776, 902,718.72 and 158,544

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Solution

The fourth proportional to 601,776, 902,718.72 and 158,544 is: 237,830.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,776 : 902,718.72 = 158,544 : x
  2. Step 2: Convert to fraction form
    601,776/902,718.72 = 158,544/x
  3. Step 3: Cross multiply
    601,776x = 902,718.72 × 158,544
  4. Step 4: Simplify right side
    601,776x = 143,120,636,743.68
  5. Step 5: Solve for x
    x = 143,120,636,743.68/601,776
  6. Step 6: Final answer
    x = 237,830.42

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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.