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Finding the Fourth Proportional to 305,957.10, 458,935.65 and 235,973.10

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Solution

The fourth proportional to 305,957.10, 458,935.65 and 235,973.10 is: 353,959.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,957.10 : 458,935.65 = 235,973.10 : x
  2. Step 2: Convert to fraction form
    305,957.10/458,935.65 = 235,973.10/x
  3. Step 3: Cross multiply
    305,957.10x = 458,935.65 × 235,973.10
  4. Step 4: Simplify right side
    305,957.10x = 108,296,468,031.02
  5. Step 5: Solve for x
    x = 108,296,468,031.02/305,957.10
  6. Step 6: Final answer
    x = 353,959.65

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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.