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Finding the Fourth Proportional to 522,794.49, 780,650.60 and 414,968.70

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Solution

The fourth proportional to 522,794.49, 780,650.60 and 414,968.70 is: 619,642.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,794.49 : 780,650.60 = 414,968.70 : x
  2. Step 2: Convert to fraction form
    522,794.49/780,650.60 = 414,968.70/x
  3. Step 3: Cross multiply
    522,794.49x = 780,650.60 × 414,968.70
  4. Step 4: Simplify right side
    522,794.49x = 323,945,565,488.82
  5. Step 5: Solve for x
    x = 323,945,565,488.82/522,794.49
  6. Step 6: Final answer
    x = 619,642.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.