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Finding the Fourth Proportional to 401,802.30, 602,462.88 and 135,556.92

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Solution

The fourth proportional to 401,802.30, 602,462.88 and 135,556.92 is: 203,254.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,802.30 : 602,462.88 = 135,556.92 : x
  2. Step 2: Convert to fraction form
    401,802.30/602,462.88 = 135,556.92/x
  3. Step 3: Cross multiply
    401,802.30x = 602,462.88 × 135,556.92
  4. Step 4: Simplify right side
    401,802.30x = 81,668,012,427.13
  5. Step 5: Solve for x
    x = 81,668,012,427.13/401,802.30
  6. Step 6: Final answer
    x = 203,254.22

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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.