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Finding the Fourth Proportional to 309,494.63, 427,109.06 and 175,358.63

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Solution

The fourth proportional to 309,494.63, 427,109.06 and 175,358.63 is: 241,998.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,494.63 : 427,109.06 = 175,358.63 : x
  2. Step 2: Convert to fraction form
    309,494.63/427,109.06 = 175,358.63/x
  3. Step 3: Cross multiply
    309,494.63x = 427,109.06 × 175,358.63
  4. Step 4: Simplify right side
    309,494.63x = 74,897,257,925.04
  5. Step 5: Solve for x
    x = 74,897,257,925.04/309,494.63
  6. Step 6: Final answer
    x = 241,998.57

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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.