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Finding the Fourth Proportional to 401,438.04, 602,258.31 and 283,340.04

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Solution

The fourth proportional to 401,438.04, 602,258.31 and 283,340.04 is: 425,081.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,438.04 : 602,258.31 = 283,340.04 : x
  2. Step 2: Convert to fraction form
    401,438.04/602,258.31 = 283,340.04/x
  3. Step 3: Cross multiply
    401,438.04x = 602,258.31 × 283,340.04
  4. Step 4: Simplify right side
    401,438.04x = 170,643,893,645.73
  5. Step 5: Solve for x
    x = 170,643,893,645.73/401,438.04
  6. Step 6: Final answer
    x = 425,081.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.