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Finding the Fourth Proportional to 410,051.40, 615,077.10 and 343,696.20

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Solution

The fourth proportional to 410,051.40, 615,077.10 and 343,696.20 is: 515,544.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,051.40 : 615,077.10 = 343,696.20 : x
  2. Step 2: Convert to fraction form
    410,051.40/615,077.10 = 343,696.20/x
  3. Step 3: Cross multiply
    410,051.40x = 615,077.10 × 343,696.20
  4. Step 4: Simplify right side
    410,051.40x = 211,399,661,977.02
  5. Step 5: Solve for x
    x = 211,399,661,977.02/410,051.40
  6. Step 6: Final answer
    x = 515,544.30

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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.