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Finding the Fourth Proportional to 400,709.80, 601,064.70 and 163,973.80

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Solution

The fourth proportional to 400,709.80, 601,064.70 and 163,973.80 is: 245,960.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,709.80 : 601,064.70 = 163,973.80 : x
  2. Step 2: Convert to fraction form
    400,709.80/601,064.70 = 163,973.80/x
  3. Step 3: Cross multiply
    400,709.80x = 601,064.70 × 163,973.80
  4. Step 4: Simplify right side
    400,709.80x = 98,558,862,904.86
  5. Step 5: Solve for x
    x = 98,558,862,904.86/400,709.80
  6. Step 6: Final answer
    x = 245,960.70

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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.