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Finding the Fourth Proportional to 584,829.97, 877,275.89 and 164,138.65

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Solution

The fourth proportional to 584,829.97, 877,275.89 and 164,138.65 is: 246,216.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,829.97 : 877,275.89 = 164,138.65 : x
  2. Step 2: Convert to fraction form
    584,829.97/877,275.89 = 164,138.65/x
  3. Step 3: Cross multiply
    584,829.97x = 877,275.89 × 164,138.65
  4. Step 4: Simplify right side
    584,829.97x = 143,994,880,262.15
  5. Step 5: Solve for x
    x = 143,994,880,262.15/584,829.97
  6. Step 6: Final answer
    x = 246,216.66

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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.