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Finding the Fourth Proportional to 5,202,435.08, 7,803,505.92 and 1,415,950.76

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Solution

The fourth proportional to 5,202,435.08, 7,803,505.92 and 1,415,950.76 is: 2,123,886.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202,435.08 : 7,803,505.92 = 1,415,950.76 : x
  2. Step 2: Convert to fraction form
    5,202,435.08/7,803,505.92 = 1,415,950.76/x
  3. Step 3: Cross multiply
    5,202,435.08x = 7,803,505.92 × 1,415,950.76
  4. Step 4: Simplify right side
    5,202,435.08x = 11,049,380,138,088.50
  5. Step 5: Solve for x
    x = 11,049,380,138,088.50/5,202,435.08
  6. Step 6: Final answer
    x = 2,123,886.21

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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.