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Finding the Fourth Proportional to 410,064.93, 565,889.96 and 228,776.90

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Solution

The fourth proportional to 410,064.93, 565,889.96 and 228,776.90 is: 315,712.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,064.93 : 565,889.96 = 228,776.90 : x
  2. Step 2: Convert to fraction form
    410,064.93/565,889.96 = 228,776.90/x
  3. Step 3: Cross multiply
    410,064.93x = 565,889.96 × 228,776.90
  4. Step 4: Simplify right side
    410,064.93x = 129,462,546,816.59
  5. Step 5: Solve for x
    x = 129,462,546,816.59/410,064.93
  6. Step 6: Final answer
    x = 315,712.31

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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.