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Finding the Fourth Proportional to 606,816, 910,224 and 163,584

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Solution

The fourth proportional to 606,816, 910,224 and 163,584 is: 245,376

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,816 : 910,224 = 163,584 : x
  2. Step 2: Convert to fraction form
    606,816/910,224 = 163,584/x
  3. Step 3: Cross multiply
    606,816x = 910,224 × 163,584
  4. Step 4: Simplify right side
    606,816x = 148,898,082,816
  5. Step 5: Solve for x
    x = 148,898,082,816/606,816
  6. Step 6: Final answer
    x = 245,376

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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.