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Finding the Fourth Proportional to 423,191.84, 584,005.44 and 232,206.68

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Solution

The fourth proportional to 423,191.84, 584,005.44 and 232,206.68 is: 320,445.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,191.84 : 584,005.44 = 232,206.68 : x
  2. Step 2: Convert to fraction form
    423,191.84/584,005.44 = 232,206.68/x
  3. Step 3: Cross multiply
    423,191.84x = 584,005.44 × 232,206.68
  4. Step 4: Simplify right side
    423,191.84x = 135,609,964,324.34
  5. Step 5: Solve for x
    x = 135,609,964,324.34/423,191.84
  6. Step 6: Final answer
    x = 320,445.60

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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.