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Finding the Fourth Proportional to 358,984.24, 538,470.32 and 106,263.64

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Solution

The fourth proportional to 358,984.24, 538,470.32 and 106,263.64 is: 159,393.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,984.24 : 538,470.32 = 106,263.64 : x
  2. Step 2: Convert to fraction form
    358,984.24/538,470.32 = 106,263.64/x
  3. Step 3: Cross multiply
    358,984.24x = 538,470.32 × 106,263.64
  4. Step 4: Simplify right side
    358,984.24x = 57,219,816,235.16
  5. Step 5: Solve for x
    x = 57,219,816,235.16/358,984.24
  6. Step 6: Final answer
    x = 159,393.67

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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.