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Finding the Fourth Proportional to 334,123.60, 501,088.20 and 184,435.60

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Solution

The fourth proportional to 334,123.60, 501,088.20 and 184,435.60 is: 276,599.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,123.60 : 501,088.20 = 184,435.60 : x
  2. Step 2: Convert to fraction form
    334,123.60/501,088.20 = 184,435.60/x
  3. Step 3: Cross multiply
    334,123.60x = 501,088.20 × 184,435.60
  4. Step 4: Simplify right side
    334,123.60x = 92,418,502,819.92
  5. Step 5: Solve for x
    x = 92,418,502,819.92/334,123.60
  6. Step 6: Final answer
    x = 276,599.75

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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.