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Finding the Fourth Proportional to 315,329.40, 472,994.10 and 165,511.80

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Solution

The fourth proportional to 315,329.40, 472,994.10 and 165,511.80 is: 248,267.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,329.40 : 472,994.10 = 165,511.80 : x
  2. Step 2: Convert to fraction form
    315,329.40/472,994.10 = 165,511.80/x
  3. Step 3: Cross multiply
    315,329.40x = 472,994.10 × 165,511.80
  4. Step 4: Simplify right side
    315,329.40x = 78,286,104,880.38
  5. Step 5: Solve for x
    x = 78,286,104,880.38/315,329.40
  6. Step 6: Final answer
    x = 248,267.70

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1.5x scale

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.