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Finding the Fourth Proportional to 410,121.80, 615,182.70 and 401,827.40

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Solution

The fourth proportional to 410,121.80, 615,182.70 and 401,827.40 is: 602,741.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,121.80 : 615,182.70 = 401,827.40 : x
  2. Step 2: Convert to fraction form
    410,121.80/615,182.70 = 401,827.40/x
  3. Step 3: Cross multiply
    410,121.80x = 615,182.70 × 401,827.40
  4. Step 4: Simplify right side
    410,121.80x = 247,197,264,865.98
  5. Step 5: Solve for x
    x = 247,197,264,865.98/410,121.80
  6. Step 6: Final answer
    x = 602,741.10

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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.