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Finding the Fourth Proportional to 470,307.96, 649,026.86 and 255,451.62

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Solution

The fourth proportional to 470,307.96, 649,026.86 and 255,451.62 is: 352,524.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,307.96 : 649,026.86 = 255,451.62 : x
  2. Step 2: Convert to fraction form
    470,307.96/649,026.86 = 255,451.62/x
  3. Step 3: Cross multiply
    470,307.96x = 649,026.86 × 255,451.62
  4. Step 4: Simplify right side
    470,307.96x = 165,794,961,533.26
  5. Step 5: Solve for x
    x = 165,794,961,533.26/470,307.96
  6. Step 6: Final answer
    x = 352,524.25

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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.