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Finding the Fourth Proportional to 446,097.54, 615,593.61 and 242,143.86

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Solution

The fourth proportional to 446,097.54, 615,593.61 and 242,143.86 is: 334,147.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,097.54 : 615,593.61 = 242,143.86 : x
  2. Step 2: Convert to fraction form
    446,097.54/615,593.61 = 242,143.86/x
  3. Step 3: Cross multiply
    446,097.54x = 615,593.61 × 242,143.86
  4. Step 4: Simplify right side
    446,097.54x = 149,062,212,916.74
  5. Step 5: Solve for x
    x = 149,062,212,916.74/446,097.54
  6. Step 6: Final answer
    x = 334,147.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.