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Finding the Fourth Proportional to 539,186.24, 808,210.20 and 202,006.64

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Solution

The fourth proportional to 539,186.24, 808,210.20 and 202,006.64 is: 302,796.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,186.24 : 808,210.20 = 202,006.64 : x
  2. Step 2: Convert to fraction form
    539,186.24/808,210.20 = 202,006.64/x
  3. Step 3: Cross multiply
    539,186.24x = 808,210.20 × 202,006.64
  4. Step 4: Simplify right side
    539,186.24x = 163,263,826,915.73
  5. Step 5: Solve for x
    x = 163,263,826,915.73/539,186.24
  6. Step 6: Final answer
    x = 302,796.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.