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Finding the Fourth Proportional to 611,743.32, 917,406.90 and 232,572.60

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Solution

The fourth proportional to 611,743.32, 917,406.90 and 232,572.60 is: 348,779.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,743.32 : 917,406.90 = 232,572.60 : x
  2. Step 2: Convert to fraction form
    611,743.32/917,406.90 = 232,572.60/x
  3. Step 3: Cross multiply
    611,743.32x = 917,406.90 × 232,572.60
  4. Step 4: Simplify right side
    611,743.32x = 213,363,707,990.94
  5. Step 5: Solve for x
    x = 213,363,707,990.94/611,743.32
  6. Step 6: Final answer
    x = 348,779.79

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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.