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Finding the Fourth Proportional to 301,752, 416,417.98 and 165,794.68

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Solution

The fourth proportional to 301,752, 416,417.98 and 165,794.68 is: 228,796.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,752 : 416,417.98 = 165,794.68 : x
  2. Step 2: Convert to fraction form
    301,752/416,417.98 = 165,794.68/x
  3. Step 3: Cross multiply
    301,752x = 416,417.98 × 165,794.68
  4. Step 4: Simplify right side
    301,752x = 69,039,885,740.35
  5. Step 5: Solve for x
    x = 69,039,885,740.35/301,752
  6. Step 6: Final answer
    x = 228,796.78

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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.