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Finding the Fourth Proportional to 619,998, 930,005.64 and 176,766

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Solution

The fourth proportional to 619,998, 930,005.64 and 176,766 is: 265,151.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,998 : 930,005.64 = 176,766 : x
  2. Step 2: Convert to fraction form
    619,998/930,005.64 = 176,766/x
  3. Step 3: Cross multiply
    619,998x = 930,005.64 × 176,766
  4. Step 4: Simplify right side
    619,998x = 164,393,376,960.24
  5. Step 5: Solve for x
    x = 164,393,376,960.24/619,998
  6. Step 6: Final answer
    x = 265,151.46

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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.