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Finding the Fourth Proportional to 520,460.46, 780,158.88 and 295,345.50

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Solution

The fourth proportional to 520,460.46, 780,158.88 and 295,345.50 is: 442,716.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,460.46 : 780,158.88 = 295,345.50 : x
  2. Step 2: Convert to fraction form
    520,460.46/780,158.88 = 295,345.50/x
  3. Step 3: Cross multiply
    520,460.46x = 780,158.88 × 295,345.50
  4. Step 4: Simplify right side
    520,460.46x = 230,416,414,493.04
  5. Step 5: Solve for x
    x = 230,416,414,493.04/520,460.46
  6. Step 6: Final answer
    x = 442,716.46

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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.