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Finding the Fourth Proportional to 530,667.36, 732,283.92 and 301,229.28

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Solution

The fourth proportional to 530,667.36, 732,283.92 and 301,229.28 is: 415,675.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,667.36 : 732,283.92 = 301,229.28 : x
  2. Step 2: Convert to fraction form
    530,667.36/732,283.92 = 301,229.28/x
  3. Step 3: Cross multiply
    530,667.36x = 732,283.92 × 301,229.28
  4. Step 4: Simplify right side
    530,667.36x = 220,585,357,977.18
  5. Step 5: Solve for x
    x = 220,585,357,977.18/530,667.36
  6. Step 6: Final answer
    x = 415,675.38

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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.