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Finding the Fourth Proportional to 611,585.37, 917,014.64 and 232,533.86

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Solution

The fourth proportional to 611,585.37, 917,014.64 and 232,533.86 is: 348,662.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,585.37 : 917,014.64 = 232,533.86 : x
  2. Step 2: Convert to fraction form
    611,585.37/917,014.64 = 232,533.86/x
  3. Step 3: Cross multiply
    611,585.37x = 917,014.64 × 232,533.86
  4. Step 4: Simplify right side
    611,585.37x = 213,236,948,167.97
  5. Step 5: Solve for x
    x = 213,236,948,167.97/611,585.37
  6. Step 6: Final answer
    x = 348,662.60

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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.