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Finding the Fourth Proportional to 497,027.10, 745,540.65 and 164,603.10

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Solution

The fourth proportional to 497,027.10, 745,540.65 and 164,603.10 is: 246,904.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,027.10 : 745,540.65 = 164,603.10 : x
  2. Step 2: Convert to fraction form
    497,027.10/745,540.65 = 164,603.10/x
  3. Step 3: Cross multiply
    497,027.10x = 745,540.65 × 164,603.10
  4. Step 4: Simplify right side
    497,027.10x = 122,718,302,166.02
  5. Step 5: Solve for x
    x = 122,718,302,166.02/497,027.10
  6. Step 6: Final answer
    x = 246,904.65

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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.