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Finding the Fourth Proportional to 284,590.96, 392,750.64 and 163,750.60

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Solution

The fourth proportional to 284,590.96, 392,750.64 and 163,750.60 is: 225,984.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,590.96 : 392,750.64 = 163,750.60 : x
  2. Step 2: Convert to fraction form
    284,590.96/392,750.64 = 163,750.60/x
  3. Step 3: Cross multiply
    284,590.96x = 392,750.64 × 163,750.60
  4. Step 4: Simplify right side
    284,590.96x = 64,313,152,950.38
  5. Step 5: Solve for x
    x = 64,313,152,950.38/284,590.96
  6. Step 6: Final answer
    x = 225,984.53

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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.