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Finding the Fourth Proportional to 561,277.62, 774,333.74 and 414,454.30

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Solution

The fourth proportional to 561,277.62, 774,333.74 and 414,454.30 is: 571,777.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,277.62 : 774,333.74 = 414,454.30 : x
  2. Step 2: Convert to fraction form
    561,277.62/774,333.74 = 414,454.30/x
  3. Step 3: Cross multiply
    561,277.62x = 774,333.74 × 414,454.30
  4. Step 4: Simplify right side
    561,277.62x = 320,925,948,178.08
  5. Step 5: Solve for x
    x = 320,925,948,178.08/561,277.62
  6. Step 6: Final answer
    x = 571,777.56

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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.