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Finding the Fourth Proportional to 423,309.90, 584,203.52 and 232,355.64

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Solution

The fourth proportional to 423,309.90, 584,203.52 and 232,355.64 is: 320,670.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,309.90 : 584,203.52 = 232,355.64 : x
  2. Step 2: Convert to fraction form
    423,309.90/584,203.52 = 232,355.64/x
  3. Step 3: Cross multiply
    423,309.90x = 584,203.52 × 232,355.64
  4. Step 4: Simplify right side
    423,309.90x = 135,742,982,779.85
  5. Step 5: Solve for x
    x = 135,742,982,779.85/423,309.90
  6. Step 6: Final answer
    x = 320,670.47

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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.