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Finding the Fourth Proportional to 295,269.40, 442,904.10 and 117,803.80

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Solution

The fourth proportional to 295,269.40, 442,904.10 and 117,803.80 is: 176,705.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,269.40 : 442,904.10 = 117,803.80 : x
  2. Step 2: Convert to fraction form
    295,269.40/442,904.10 = 117,803.80/x
  3. Step 3: Cross multiply
    295,269.40x = 442,904.10 × 117,803.80
  4. Step 4: Simplify right side
    295,269.40x = 52,175,786,015.58
  5. Step 5: Solve for x
    x = 52,175,786,015.58/295,269.40
  6. Step 6: Final answer
    x = 176,705.70

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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.