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Finding the Fourth Proportional to 340,442.38, 510,400.41 and 171,875.94

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Solution

The fourth proportional to 340,442.38, 510,400.41 and 171,875.94 is: 257,681.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,442.38 : 510,400.41 = 171,875.94 : x
  2. Step 2: Convert to fraction form
    340,442.38/510,400.41 = 171,875.94/x
  3. Step 3: Cross multiply
    340,442.38x = 510,400.41 × 171,875.94
  4. Step 4: Simplify right side
    340,442.38x = 87,725,550,245.14
  5. Step 5: Solve for x
    x = 87,725,550,245.14/340,442.38
  6. Step 6: Final answer
    x = 257,681.05

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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.