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Finding the Fourth Proportional to 520,047.60, 780,013.80 and 146,108.40

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Solution

The fourth proportional to 520,047.60, 780,013.80 and 146,108.40 is: 219,146.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,047.60 : 780,013.80 = 146,108.40 : x
  2. Step 2: Convert to fraction form
    520,047.60/780,013.80 = 146,108.40/x
  3. Step 3: Cross multiply
    520,047.60x = 780,013.80 × 146,108.40
  4. Step 4: Simplify right side
    520,047.60x = 113,966,568,295.92
  5. Step 5: Solve for x
    x = 113,966,568,295.92/520,047.60
  6. Step 6: Final answer
    x = 219,146.42

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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.