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Finding the Fourth Proportional to 360,991, 541,486.50 and 98,335

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Solution

The fourth proportional to 360,991, 541,486.50 and 98,335 is: 147,502.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,991 : 541,486.50 = 98,335 : x
  2. Step 2: Convert to fraction form
    360,991/541,486.50 = 98,335/x
  3. Step 3: Cross multiply
    360,991x = 541,486.50 × 98,335
  4. Step 4: Simplify right side
    360,991x = 53,247,074,977.50
  5. Step 5: Solve for x
    x = 53,247,074,977.50/360,991
  6. Step 6: Final answer
    x = 147,502.50

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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.