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Finding the Fourth Proportional to 530,722.24, 732,389.41 and 301,277.50

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Solution

The fourth proportional to 530,722.24, 732,389.41 and 301,277.50 is: 415,758.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,722.24 : 732,389.41 = 301,277.50 : x
  2. Step 2: Convert to fraction form
    530,722.24/732,389.41 = 301,277.50/x
  3. Step 3: Cross multiply
    530,722.24x = 732,389.41 × 301,277.50
  4. Step 4: Simplify right side
    530,722.24x = 220,652,450,471.28
  5. Step 5: Solve for x
    x = 220,652,450,471.28/530,722.24
  6. Step 6: Final answer
    x = 415,758.82

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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.