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Finding the Fourth Proportional to 649,322.70, 973,984.05 and 176,007.30

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Solution

The fourth proportional to 649,322.70, 973,984.05 and 176,007.30 is: 264,010.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,322.70 : 973,984.05 = 176,007.30 : x
  2. Step 2: Convert to fraction form
    649,322.70/973,984.05 = 176,007.30/x
  3. Step 3: Cross multiply
    649,322.70x = 973,984.05 × 176,007.30
  4. Step 4: Simplify right side
    649,322.70x = 171,428,302,883.57
  5. Step 5: Solve for x
    x = 171,428,302,883.57/649,322.70
  6. Step 6: Final answer
    x = 264,010.95

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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.