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Finding the Fourth Proportional to 329,902, 455,267.19 and 178,999

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Solution

The fourth proportional to 329,902, 455,267.19 and 178,999 is: 247,019.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,902 : 455,267.19 = 178,999 : x
  2. Step 2: Convert to fraction form
    329,902/455,267.19 = 178,999/x
  3. Step 3: Cross multiply
    329,902x = 455,267.19 × 178,999
  4. Step 4: Simplify right side
    329,902x = 81,492,371,742.81
  5. Step 5: Solve for x
    x = 81,492,371,742.81/329,902
  6. Step 6: Final answer
    x = 247,019.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.