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Finding the Fourth Proportional to 616,245.74, 850,463.14 and 340,597.68

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Solution

The fourth proportional to 616,245.74, 850,463.14 and 340,597.68 is: 470,049.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,245.74 : 850,463.14 = 340,597.68 : x
  2. Step 2: Convert to fraction form
    616,245.74/850,463.14 = 340,597.68/x
  3. Step 3: Cross multiply
    616,245.74x = 850,463.14 × 340,597.68
  4. Step 4: Simplify right side
    616,245.74x = 289,665,772,409.52
  5. Step 5: Solve for x
    x = 289,665,772,409.52/616,245.74
  6. Step 6: Final answer
    x = 470,049.13

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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.