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Finding the Fourth Proportional to 400,983, 601,007.94 and 164,038.56

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Solution

The fourth proportional to 400,983, 601,007.94 and 164,038.56 is: 245,866.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,983 : 601,007.94 = 164,038.56 : x
  2. Step 2: Convert to fraction form
    400,983/601,007.94 = 164,038.56/x
  3. Step 3: Cross multiply
    400,983x = 601,007.94 × 164,038.56
  4. Step 4: Simplify right side
    400,983x = 98,588,477,026.17
  5. Step 5: Solve for x
    x = 98,588,477,026.17/400,983
  6. Step 6: Final answer
    x = 245,866.97

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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.