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Finding the Fourth Proportional to 525,106.08, 724,663.08 and 298,766.16

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Solution

The fourth proportional to 525,106.08, 724,663.08 and 298,766.16 is: 412,306.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,106.08 : 724,663.08 = 298,766.16 : x
  2. Step 2: Convert to fraction form
    525,106.08/724,663.08 = 298,766.16/x
  3. Step 3: Cross multiply
    525,106.08x = 724,663.08 × 298,766.16
  4. Step 4: Simplify right side
    525,106.08x = 216,504,805,705.37
  5. Step 5: Solve for x
    x = 216,504,805,705.37/525,106.08
  6. Step 6: Final answer
    x = 412,306.80

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Why These Related Problems?

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