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Finding the Fourth Proportional to 438,051.86, 657,083.01 and 171,937.70

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Solution

The fourth proportional to 438,051.86, 657,083.01 and 171,937.70 is: 257,908.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,051.86 : 657,083.01 = 171,937.70 : x
  2. Step 2: Convert to fraction form
    438,051.86/657,083.01 = 171,937.70/x
  3. Step 3: Cross multiply
    438,051.86x = 657,083.01 × 171,937.70
  4. Step 4: Simplify right side
    438,051.86x = 112,977,341,448.48
  5. Step 5: Solve for x
    x = 112,977,341,448.48/438,051.86
  6. Step 6: Final answer
    x = 257,908.60

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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.