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Finding the Fourth Proportional to 423,209.94, 584,006.52 and 232,208.32

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Solution

The fourth proportional to 423,209.94, 584,006.52 and 232,208.32 is: 320,434.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,209.94 : 584,006.52 = 232,208.32 : x
  2. Step 2: Convert to fraction form
    423,209.94/584,006.52 = 232,208.32/x
  3. Step 3: Cross multiply
    423,209.94x = 584,006.52 × 232,208.32
  4. Step 4: Simplify right side
    423,209.94x = 135,611,172,878.25
  5. Step 5: Solve for x
    x = 135,611,172,878.25/423,209.94
  6. Step 6: Final answer
    x = 320,434.75

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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.