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Finding the Fourth Proportional to 423,240.16, 584,083.52 and 232,266.16

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Solution

The fourth proportional to 423,240.16, 584,083.52 and 232,266.16 is: 320,533.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,240.16 : 584,083.52 = 232,266.16 : x
  2. Step 2: Convert to fraction form
    423,240.16/584,083.52 = 232,266.16/x
  3. Step 3: Cross multiply
    423,240.16x = 584,083.52 × 232,266.16
  4. Step 4: Simplify right side
    423,240.16x = 135,662,836,309.68
  5. Step 5: Solve for x
    x = 135,662,836,309.68/423,240.16
  6. Step 6: Final answer
    x = 320,533.94

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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.