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Finding the Fourth Proportional to 701,184.51, 967,473.95 and 442,750.82

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Solution

The fourth proportional to 701,184.51, 967,473.95 and 442,750.82 is: 610,894.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,184.51 : 967,473.95 = 442,750.82 : x
  2. Step 2: Convert to fraction form
    701,184.51/967,473.95 = 442,750.82/x
  3. Step 3: Cross multiply
    701,184.51x = 967,473.95 × 442,750.82
  4. Step 4: Simplify right side
    701,184.51x = 428,349,877,640.02
  5. Step 5: Solve for x
    x = 428,349,877,640.02/701,184.51
  6. Step 6: Final answer
    x = 610,894.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.