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Finding the Fourth Proportional to 413,607.60, 619,875.02 and 185,734.96

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Solution

The fourth proportional to 413,607.60, 619,875.02 and 185,734.96 is: 278,361.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,607.60 : 619,875.02 = 185,734.96 : x
  2. Step 2: Convert to fraction form
    413,607.60/619,875.02 = 185,734.96/x
  3. Step 3: Cross multiply
    413,607.60x = 619,875.02 × 185,734.96
  4. Step 4: Simplify right side
    413,607.60x = 115,132,460,959.35
  5. Step 5: Solve for x
    x = 115,132,460,959.35/413,607.60
  6. Step 6: Final answer
    x = 278,361.57

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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.