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Finding the Fourth Proportional to 530,998.14, 732,768.90 and 289,283.64

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Solution

The fourth proportional to 530,998.14, 732,768.90 and 289,283.64 is: 399,206.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,998.14 : 732,768.90 = 289,283.64 : x
  2. Step 2: Convert to fraction form
    530,998.14/732,768.90 = 289,283.64/x
  3. Step 3: Cross multiply
    530,998.14x = 732,768.90 × 289,283.64
  4. Step 4: Simplify right side
    530,998.14x = 211,978,054,670.80
  5. Step 5: Solve for x
    x = 211,978,054,670.80/530,998.14
  6. Step 6: Final answer
    x = 399,206.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.