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Finding the Fourth Proportional to 422,980.81, 583,750.41 and 232,031.10

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Solution

The fourth proportional to 422,980.81, 583,750.41 and 232,031.10 is: 320,223.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,980.81 : 583,750.41 = 232,031.10 : x
  2. Step 2: Convert to fraction form
    422,980.81/583,750.41 = 232,031.10/x
  3. Step 3: Cross multiply
    422,980.81x = 583,750.41 × 232,031.10
  4. Step 4: Simplify right side
    422,980.81x = 135,448,249,757.75
  5. Step 5: Solve for x
    x = 135,448,249,757.75/422,980.81
  6. Step 6: Final answer
    x = 320,223.16

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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.