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Finding the Fourth Proportional to 517,654.14, 775,928.25 and 369,460.86

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Solution

The fourth proportional to 517,654.14, 775,928.25 and 369,460.86 is: 553,796.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,654.14 : 775,928.25 = 369,460.86 : x
  2. Step 2: Convert to fraction form
    517,654.14/775,928.25 = 369,460.86/x
  3. Step 3: Cross multiply
    517,654.14x = 775,928.25 × 369,460.86
  4. Step 4: Simplify right side
    517,654.14x = 286,675,118,543.30
  5. Step 5: Solve for x
    x = 286,675,118,543.30/517,654.14
  6. Step 6: Final answer
    x = 553,796.63

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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.