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Finding the Fourth Proportional to 364,552.14, 546,452.91 and 139,852.74

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Solution

The fourth proportional to 364,552.14, 546,452.91 and 139,852.74 is: 209,635.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,552.14 : 546,452.91 = 139,852.74 : x
  2. Step 2: Convert to fraction form
    364,552.14/546,452.91 = 139,852.74/x
  3. Step 3: Cross multiply
    364,552.14x = 546,452.91 × 139,852.74
  4. Step 4: Simplify right side
    364,552.14x = 76,422,936,744.47
  5. Step 5: Solve for x
    x = 76,422,936,744.47/364,552.14
  6. Step 6: Final answer
    x = 209,635.13

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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.