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Finding the Fourth Proportional to 410,429.70, 615,644.55 and 401,681.70

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Solution

The fourth proportional to 410,429.70, 615,644.55 and 401,681.70 is: 602,522.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,429.70 : 615,644.55 = 401,681.70 : x
  2. Step 2: Convert to fraction form
    410,429.70/615,644.55 = 401,681.70/x
  3. Step 3: Cross multiply
    410,429.70x = 615,644.55 × 401,681.70
  4. Step 4: Simplify right side
    410,429.70x = 247,293,149,439.74
  5. Step 5: Solve for x
    x = 247,293,149,439.74/410,429.70
  6. Step 6: Final answer
    x = 602,522.55

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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.