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Finding the Fourth Proportional to 596,303.74, 894,115.68 and 406,993.27

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Solution

The fourth proportional to 596,303.74, 894,115.68 and 406,993.27 is: 610,257.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,303.74 : 894,115.68 = 406,993.27 : x
  2. Step 2: Convert to fraction form
    596,303.74/894,115.68 = 406,993.27/x
  3. Step 3: Cross multiply
    596,303.74x = 894,115.68 × 406,993.27
  4. Step 4: Simplify right side
    596,303.74x = 363,899,064,361.47
  5. Step 5: Solve for x
    x = 363,899,064,361.47/596,303.74
  6. Step 6: Final answer
    x = 610,257.89

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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.