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Finding the Fourth Proportional to 520,013.10, 780,019.65 and 253,944.30

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Solution

The fourth proportional to 520,013.10, 780,019.65 and 253,944.30 is: 380,916.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,013.10 : 780,019.65 = 253,944.30 : x
  2. Step 2: Convert to fraction form
    520,013.10/780,019.65 = 253,944.30/x
  3. Step 3: Cross multiply
    520,013.10x = 780,019.65 × 253,944.30
  4. Step 4: Simplify right side
    520,013.10x = 198,081,544,005.50
  5. Step 5: Solve for x
    x = 198,081,544,005.50/520,013.10
  6. Step 6: Final answer
    x = 380,916.45

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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.