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Finding the Fourth Proportional to 490,307.77, 734,781.25 and 223,416.01

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Solution

The fourth proportional to 490,307.77, 734,781.25 and 223,416.01 is: 334,813.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,307.77 : 734,781.25 = 223,416.01 : x
  2. Step 2: Convert to fraction form
    490,307.77/734,781.25 = 223,416.01/x
  3. Step 3: Cross multiply
    490,307.77x = 734,781.25 × 223,416.01
  4. Step 4: Simplify right side
    490,307.77x = 164,161,895,097.81
  5. Step 5: Solve for x
    x = 164,161,895,097.81/490,307.77
  6. Step 6: Final answer
    x = 334,813.98

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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.