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Finding the Fourth Proportional to 576,194.91, 863,592.53 and 407,764.77

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Solution

The fourth proportional to 576,194.91, 863,592.53 and 407,764.77 is: 611,151.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,194.91 : 863,592.53 = 407,764.77 : x
  2. Step 2: Convert to fraction form
    576,194.91/863,592.53 = 407,764.77/x
  3. Step 3: Cross multiply
    576,194.91x = 863,592.53 × 407,764.77
  4. Step 4: Simplify right side
    576,194.91x = 352,142,607,330.34
  5. Step 5: Solve for x
    x = 352,142,607,330.34/576,194.91
  6. Step 6: Final answer
    x = 611,151.89

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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.