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Finding the Fourth Proportional to 624,235.38, 861,214.37 and 409,667.01

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Solution

The fourth proportional to 624,235.38, 861,214.37 and 409,667.01 is: 565,189.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,235.38 : 861,214.37 = 409,667.01 : x
  2. Step 2: Convert to fraction form
    624,235.38/861,214.37 = 409,667.01/x
  3. Step 3: Cross multiply
    624,235.38x = 861,214.37 × 409,667.01
  4. Step 4: Simplify right side
    624,235.38x = 352,811,113,878.60
  5. Step 5: Solve for x
    x = 352,811,113,878.60/624,235.38
  6. Step 6: Final answer
    x = 565,189.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.