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Finding the Fourth Proportional to 301,804.76, 416,490.45 and 165,847.47

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Solution

The fourth proportional to 301,804.76, 416,490.45 and 165,847.47 is: 228,869.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,804.76 : 416,490.45 = 165,847.47 : x
  2. Step 2: Convert to fraction form
    301,804.76/416,490.45 = 165,847.47/x
  3. Step 3: Cross multiply
    301,804.76x = 416,490.45 × 165,847.47
  4. Step 4: Simplify right side
    301,804.76x = 69,073,887,411.66
  5. Step 5: Solve for x
    x = 69,073,887,411.66/301,804.76
  6. Step 6: Final answer
    x = 228,869.45

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1.5x scale

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.