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Finding the Fourth Proportional to 398,485.48, 597,402.49 and 185,386.23

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Solution

The fourth proportional to 398,485.48, 597,402.49 and 185,386.23 is: 277,927.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,485.48 : 597,402.49 = 185,386.23 : x
  2. Step 2: Convert to fraction form
    398,485.48/597,402.49 = 185,386.23/x
  3. Step 3: Cross multiply
    398,485.48x = 597,402.49 × 185,386.23
  4. Step 4: Simplify right side
    398,485.48x = 110,750,195,413.71
  5. Step 5: Solve for x
    x = 110,750,195,413.71/398,485.48
  6. Step 6: Final answer
    x = 277,927.81

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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.