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Finding the Fourth Proportional to 579,208.16, 868,599.12 and 200,032.40

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Solution

The fourth proportional to 579,208.16, 868,599.12 and 200,032.40 is: 299,975.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,208.16 : 868,599.12 = 200,032.40 : x
  2. Step 2: Convert to fraction form
    579,208.16/868,599.12 = 200,032.40/x
  3. Step 3: Cross multiply
    579,208.16x = 868,599.12 × 200,032.40
  4. Step 4: Simplify right side
    579,208.16x = 173,747,966,611.49
  5. Step 5: Solve for x
    x = 173,747,966,611.49/579,208.16
  6. Step 6: Final answer
    x = 299,975.00

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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.