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Finding the Fourth Proportional to 611,534.37, 917,093.94 and 232,364.01

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Solution

The fourth proportional to 611,534.37, 917,093.94 and 232,364.01 is: 348,467.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,534.37 : 917,093.94 = 232,364.01 : x
  2. Step 2: Convert to fraction form
    611,534.37/917,093.94 = 232,364.01/x
  3. Step 3: Cross multiply
    611,534.37x = 917,093.94 × 232,364.01
  4. Step 4: Simplify right side
    611,534.37x = 213,099,625,445.10
  5. Step 5: Solve for x
    x = 213,099,625,445.10/611,534.37
  6. Step 6: Final answer
    x = 348,467.13

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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.