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Finding the Fourth Proportional to 561,169.64, 774,184.85 and 414,346.38

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Solution

The fourth proportional to 561,169.64, 774,184.85 and 414,346.38 is: 571,628.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,169.64 : 774,184.85 = 414,346.38 : x
  2. Step 2: Convert to fraction form
    561,169.64/774,184.85 = 414,346.38/x
  3. Step 3: Cross multiply
    561,169.64x = 774,184.85 × 414,346.38
  4. Step 4: Simplify right side
    561,169.64x = 320,780,686,627.22
  5. Step 5: Solve for x
    x = 320,780,686,627.22/561,169.64
  6. Step 6: Final answer
    x = 571,628.72

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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.