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Finding the Fourth Proportional to 413,808.84, 620,700.96 and 114,307.39

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Solution

The fourth proportional to 413,808.84, 620,700.96 and 114,307.39 is: 171,457.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,808.84 : 620,700.96 = 114,307.39 : x
  2. Step 2: Convert to fraction form
    413,808.84/620,700.96 = 114,307.39/x
  3. Step 3: Cross multiply
    413,808.84x = 620,700.96 × 114,307.39
  4. Step 4: Simplify right side
    413,808.84x = 70,950,706,708.09
  5. Step 5: Solve for x
    x = 70,950,706,708.09/413,808.84
  6. Step 6: Final answer
    x = 171,457.69

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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.