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Finding the Fourth Proportional to 5,311,544.40, 7,966,279.80 and 1,765,688.40

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Solution

The fourth proportional to 5,311,544.40, 7,966,279.80 and 1,765,688.40 is: 2,648,187.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311,544.40 : 7,966,279.80 = 1,765,688.40 : x
  2. Step 2: Convert to fraction form
    5,311,544.40/7,966,279.80 = 1,765,688.40/x
  3. Step 3: Cross multiply
    5,311,544.40x = 7,966,279.80 × 1,765,688.40
  4. Step 4: Simplify right side
    5,311,544.40x = 14,065,967,834,014.32
  5. Step 5: Solve for x
    x = 14,065,967,834,014.32/5,311,544.40
  6. Step 6: Final answer
    x = 2,648,187.94

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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.