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Finding the Fourth Proportional to 358,947.54, 538,421.40 and 106,208.46

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Solution

The fourth proportional to 358,947.54, 538,421.40 and 106,208.46 is: 159,312.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,947.54 : 538,421.40 = 106,208.46 : x
  2. Step 2: Convert to fraction form
    358,947.54/538,421.40 = 106,208.46/x
  3. Step 3: Cross multiply
    358,947.54x = 538,421.40 × 106,208.46
  4. Step 4: Simplify right side
    358,947.54x = 57,184,907,725.04
  5. Step 5: Solve for x
    x = 57,184,907,725.04/358,947.54
  6. Step 6: Final answer
    x = 159,312.72

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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.