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Finding the Fourth Proportional to 294,783.75, 406,816.00 and 165,762.84

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Solution

The fourth proportional to 294,783.75, 406,816.00 and 165,762.84 is: 228,760.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,783.75 : 406,816.00 = 165,762.84 : x
  2. Step 2: Convert to fraction form
    294,783.75/406,816.00 = 165,762.84/x
  3. Step 3: Cross multiply
    294,783.75x = 406,816.00 × 165,762.84
  4. Step 4: Simplify right side
    294,783.75x = 67,434,975,352.07
  5. Step 5: Solve for x
    x = 67,434,975,352.07/294,783.75
  6. Step 6: Final answer
    x = 228,760.83

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1.5x scale

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.