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Finding the Fourth Proportional to 349,495.47, 524,242.32 and 96,775.11

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Solution

The fourth proportional to 349,495.47, 524,242.32 and 96,775.11 is: 145,162.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,495.47 : 524,242.32 = 96,775.11 : x
  2. Step 2: Convert to fraction form
    349,495.47/524,242.32 = 96,775.11/x
  3. Step 3: Cross multiply
    349,495.47x = 524,242.32 × 96,775.11
  4. Step 4: Simplify right side
    349,495.47x = 50,733,608,184.66
  5. Step 5: Solve for x
    x = 50,733,608,184.66/349,495.47
  6. Step 6: Final answer
    x = 145,162.42

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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.