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Finding the Fourth Proportional to 423,498.71, 584,438.49 and 229,914.38

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Solution

The fourth proportional to 423,498.71, 584,438.49 and 229,914.38 is: 317,287.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,498.71 : 584,438.49 = 229,914.38 : x
  2. Step 2: Convert to fraction form
    423,498.71/584,438.49 = 229,914.38/x
  3. Step 3: Cross multiply
    423,498.71x = 584,438.49 × 229,914.38
  4. Step 4: Simplify right side
    423,498.71x = 134,370,814,537.58
  5. Step 5: Solve for x
    x = 134,370,814,537.58/423,498.71
  6. Step 6: Final answer
    x = 317,287.42

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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.