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Finding the Fourth Proportional to 314,790.10, 472,324.53 and 164,994.77

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Solution

The fourth proportional to 314,790.10, 472,324.53 and 164,994.77 is: 247,565.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,790.10 : 472,324.53 = 164,994.77 : x
  2. Step 2: Convert to fraction form
    314,790.10/472,324.53 = 164,994.77/x
  3. Step 3: Cross multiply
    314,790.10x = 472,324.53 × 164,994.77
  4. Step 4: Simplify right side
    314,790.10x = 77,931,078,992.25
  5. Step 5: Solve for x
    x = 77,931,078,992.25/314,790.10
  6. Step 6: Final answer
    x = 247,565.22

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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.