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Finding the Fourth Proportional to 530,890.53, 732,789 and 361,223.07

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Solution

The fourth proportional to 530,890.53, 732,789 and 361,223.07 is: 498,596.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,890.53 : 732,789 = 361,223.07 : x
  2. Step 2: Convert to fraction form
    530,890.53/732,789 = 361,223.07/x
  3. Step 3: Cross multiply
    530,890.53x = 732,789 × 361,223.07
  4. Step 4: Simplify right side
    530,890.53x = 264,700,292,242.23
  5. Step 5: Solve for x
    x = 264,700,292,242.23/530,890.53
  6. Step 6: Final answer
    x = 498,596.75

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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.