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Finding the Fourth Proportional to 298,114.80, 411,456.84 and 170,875.60

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Solution

The fourth proportional to 298,114.80, 411,456.84 and 170,875.60 is: 235,841.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,114.80 : 411,456.84 = 170,875.60 : x
  2. Step 2: Convert to fraction form
    298,114.80/411,456.84 = 170,875.60/x
  3. Step 3: Cross multiply
    298,114.80x = 411,456.84 × 170,875.60
  4. Step 4: Simplify right side
    298,114.80x = 70,307,934,409.10
  5. Step 5: Solve for x
    x = 70,307,934,409.10/298,114.80
  6. Step 6: Final answer
    x = 235,841.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.