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Finding the Fourth Proportional to 400,952.71, 601,426.59 and 164,295.01

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Solution

The fourth proportional to 400,952.71, 601,426.59 and 164,295.01 is: 246,441.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,952.71 : 601,426.59 = 164,295.01 : x
  2. Step 2: Convert to fraction form
    400,952.71/601,426.59 = 164,295.01/x
  3. Step 3: Cross multiply
    400,952.71x = 601,426.59 × 164,295.01
  4. Step 4: Simplify right side
    400,952.71x = 98,811,387,618.32
  5. Step 5: Solve for x
    x = 98,811,387,618.32/400,952.71
  6. Step 6: Final answer
    x = 246,441.50

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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.