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Finding the Fourth Proportional to 570,712.94, 856,106.31 and 191,618.36

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Solution

The fourth proportional to 570,712.94, 856,106.31 and 191,618.36 is: 287,439.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,712.94 : 856,106.31 = 191,618.36 : x
  2. Step 2: Convert to fraction form
    570,712.94/856,106.31 = 191,618.36/x
  3. Step 3: Cross multiply
    570,712.94x = 856,106.31 × 191,618.36
  4. Step 4: Simplify right side
    570,712.94x = 164,045,682,827.32
  5. Step 5: Solve for x
    x = 164,045,682,827.32/570,712.94
  6. Step 6: Final answer
    x = 287,439.92

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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.