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Finding the Fourth Proportional to 594,166.20, 892,124.10 and 461,196.60

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Solution

The fourth proportional to 594,166.20, 892,124.10 and 461,196.60 is: 692,473.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,166.20 : 892,124.10 = 461,196.60 : x
  2. Step 2: Convert to fraction form
    594,166.20/892,124.10 = 461,196.60/x
  3. Step 3: Cross multiply
    594,166.20x = 892,124.10 × 461,196.60
  4. Step 4: Simplify right side
    594,166.20x = 411,444,601,698.06
  5. Step 5: Solve for x
    x = 411,444,601,698.06/594,166.20
  6. Step 6: Final answer
    x = 692,473.93

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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.