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Finding the Fourth Proportional to 286,810.50, 395,783.10 and 165,953.76

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Solution

The fourth proportional to 286,810.50, 395,783.10 and 165,953.76 is: 229,007.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,810.50 : 395,783.10 = 165,953.76 : x
  2. Step 2: Convert to fraction form
    286,810.50/395,783.10 = 165,953.76/x
  3. Step 3: Cross multiply
    286,810.50x = 395,783.10 × 165,953.76
  4. Step 4: Simplify right side
    286,810.50x = 65,681,693,589.46
  5. Step 5: Solve for x
    x = 65,681,693,589.46/286,810.50
  6. Step 6: Final answer
    x = 229,007.28

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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.