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Finding the Fourth Proportional to 561,172.90, 774,189.33 and 414,349.63

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Solution

The fourth proportional to 561,172.90, 774,189.33 and 414,349.63 is: 571,633.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,172.90 : 774,189.33 = 414,349.63 : x
  2. Step 2: Convert to fraction form
    561,172.90/774,189.33 = 414,349.63/x
  3. Step 3: Cross multiply
    561,172.90x = 774,189.33 × 414,349.63
  4. Step 4: Simplify right side
    561,172.90x = 320,785,062,435.45
  5. Step 5: Solve for x
    x = 320,785,062,435.45/561,172.90
  6. Step 6: Final answer
    x = 571,633.20

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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.