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Finding the Fourth Proportional to 520,044.60, 780,009.30 and 146,105.40

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Solution

The fourth proportional to 520,044.60, 780,009.30 and 146,105.40 is: 219,141.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,044.60 : 780,009.30 = 146,105.40 : x
  2. Step 2: Convert to fraction form
    520,044.60/780,009.30 = 146,105.40/x
  3. Step 3: Cross multiply
    520,044.60x = 780,009.30 × 146,105.40
  4. Step 4: Simplify right side
    520,044.60x = 113,963,570,780.22
  5. Step 5: Solve for x
    x = 113,963,570,780.22/520,044.60
  6. Step 6: Final answer
    x = 219,141.92

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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.