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Finding the Fourth Proportional to 413,569.98, 620,352.68 and 161,026.16

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Solution

The fourth proportional to 413,569.98, 620,352.68 and 161,026.16 is: 241,538.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,569.98 : 620,352.68 = 161,026.16 : x
  2. Step 2: Convert to fraction form
    413,569.98/620,352.68 = 161,026.16/x
  3. Step 3: Cross multiply
    413,569.98x = 620,352.68 × 161,026.16
  4. Step 4: Simplify right side
    413,569.98x = 99,893,005,999.21
  5. Step 5: Solve for x
    x = 99,893,005,999.21/413,569.98
  6. Step 6: Final answer
    x = 241,538.34

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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.