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Finding the Fourth Proportional to 470,432.77, 649,195.52 and 255,570.95

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Solution

The fourth proportional to 470,432.77, 649,195.52 and 255,570.95 is: 352,686.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,432.77 : 649,195.52 = 255,570.95 : x
  2. Step 2: Convert to fraction form
    470,432.77/649,195.52 = 255,570.95/x
  3. Step 3: Cross multiply
    470,432.77x = 649,195.52 × 255,570.95
  4. Step 4: Simplify right side
    470,432.77x = 165,915,515,782.14
  5. Step 5: Solve for x
    x = 165,915,515,782.14/470,432.77
  6. Step 6: Final answer
    x = 352,686.99

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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.