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Finding the Fourth Proportional to 360,678.30, 497,646.63 and 233,200.50

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Solution

The fourth proportional to 360,678.30, 497,646.63 and 233,200.50 is: 321,758.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,678.30 : 497,646.63 = 233,200.50 : x
  2. Step 2: Convert to fraction form
    360,678.30/497,646.63 = 233,200.50/x
  3. Step 3: Cross multiply
    360,678.30x = 497,646.63 × 233,200.50
  4. Step 4: Simplify right side
    360,678.30x = 116,051,442,939.32
  5. Step 5: Solve for x
    x = 116,051,442,939.32/360,678.30
  6. Step 6: Final answer
    x = 321,758.87

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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.