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Finding the Fourth Proportional to 402,283.92, 555,090.16 and 232,485.28

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Solution

The fourth proportional to 402,283.92, 555,090.16 and 232,485.28 is: 320,794.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,283.92 : 555,090.16 = 232,485.28 : x
  2. Step 2: Convert to fraction form
    402,283.92/555,090.16 = 232,485.28/x
  3. Step 3: Cross multiply
    402,283.92x = 555,090.16 × 232,485.28
  4. Step 4: Simplify right side
    402,283.92x = 129,050,291,272.85
  5. Step 5: Solve for x
    x = 129,050,291,272.85/402,283.92
  6. Step 6: Final answer
    x = 320,794.06

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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.