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Finding the Fourth Proportional to 284,641.79, 427,032.75 and 200,566.16

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Solution

The fourth proportional to 284,641.79, 427,032.75 and 200,566.16 is: 300,898.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,641.79 : 427,032.75 = 200,566.16 : x
  2. Step 2: Convert to fraction form
    284,641.79/427,032.75 = 200,566.16/x
  3. Step 3: Cross multiply
    284,641.79x = 427,032.75 × 200,566.16
  4. Step 4: Simplify right side
    284,641.79x = 85,648,316,726.58
  5. Step 5: Solve for x
    x = 85,648,316,726.58/284,641.79
  6. Step 6: Final answer
    x = 300,898.60

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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.