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Finding the Fourth Proportional to 530,744.34, 732,431.38 and 289,028

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Solution

The fourth proportional to 530,744.34, 732,431.38 and 289,028 is: 398,860.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,744.34 : 732,431.38 = 289,028 : x
  2. Step 2: Convert to fraction form
    530,744.34/732,431.38 = 289,028/x
  3. Step 3: Cross multiply
    530,744.34x = 732,431.38 × 289,028
  4. Step 4: Simplify right side
    530,744.34x = 211,693,176,898.64
  5. Step 5: Solve for x
    x = 211,693,176,898.64/530,744.34
  6. Step 6: Final answer
    x = 398,860.92

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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.