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Finding the Fourth Proportional to 360,985, 541,477.50 and 98,329

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Solution

The fourth proportional to 360,985, 541,477.50 and 98,329 is: 147,493.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,985 : 541,477.50 = 98,329 : x
  2. Step 2: Convert to fraction form
    360,985/541,477.50 = 98,329/x
  3. Step 3: Cross multiply
    360,985x = 541,477.50 × 98,329
  4. Step 4: Simplify right side
    360,985x = 53,242,941,097.50
  5. Step 5: Solve for x
    x = 53,242,941,097.50/360,985
  6. Step 6: Final answer
    x = 147,493.50

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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.