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Finding the Fourth Proportional to 426,473.64, 638,321.64 and 314,109.60

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Solution

The fourth proportional to 426,473.64, 638,321.64 and 314,109.60 is: 470,141.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,473.64 : 638,321.64 = 314,109.60 : x
  2. Step 2: Convert to fraction form
    426,473.64/638,321.64 = 314,109.60/x
  3. Step 3: Cross multiply
    426,473.64x = 638,321.64 × 314,109.60
  4. Step 4: Simplify right side
    426,473.64x = 200,502,955,011.74
  5. Step 5: Solve for x
    x = 200,502,955,011.74/426,473.64
  6. Step 6: Final answer
    x = 470,141.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.