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Finding the Fourth Proportional to 700,140.80, 1,047,586.80 and 463,944.80

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Solution

The fourth proportional to 700,140.80, 1,047,586.80 and 463,944.80 is: 694,178.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,140.80 : 1,047,586.80 = 463,944.80 : x
  2. Step 2: Convert to fraction form
    700,140.80/1,047,586.80 = 463,944.80/x
  3. Step 3: Cross multiply
    700,140.80x = 1,047,586.80 × 463,944.80
  4. Step 4: Simplify right side
    700,140.80x = 486,022,448,408.64
  5. Step 5: Solve for x
    x = 486,022,448,408.64/700,140.80
  6. Step 6: Final answer
    x = 694,178.15

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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.