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Finding the Fourth Proportional to 340,464, 469,848.96 and 189,557.76

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Solution

The fourth proportional to 340,464, 469,848.96 and 189,557.76 is: 261,594.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,464 : 469,848.96 = 189,557.76 : x
  2. Step 2: Convert to fraction form
    340,464/469,848.96 = 189,557.76/x
  3. Step 3: Cross multiply
    340,464x = 469,848.96 × 189,557.76
  4. Step 4: Simplify right side
    340,464x = 89,063,516,395.93
  5. Step 5: Solve for x
    x = 89,063,516,395.93/340,464
  6. Step 6: Final answer
    x = 261,594.52

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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.