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Finding the Fourth Proportional to 530,643.62, 732,302.16 and 288,936.38

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Solution

The fourth proportional to 530,643.62, 732,302.16 and 288,936.38 is: 398,739.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,643.62 : 732,302.16 = 288,936.38 : x
  2. Step 2: Convert to fraction form
    530,643.62/732,302.16 = 288,936.38/x
  3. Step 3: Cross multiply
    530,643.62x = 732,302.16 × 288,936.38
  4. Step 4: Simplify right side
    530,643.62x = 211,588,735,176.58
  5. Step 5: Solve for x
    x = 211,588,735,176.58/530,643.62
  6. Step 6: Final answer
    x = 398,739.81

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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.