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Finding the Fourth Proportional to 489,406.80, 734,110.20 and 438,085.20

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Solution

The fourth proportional to 489,406.80, 734,110.20 and 438,085.20 is: 657,127.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,406.80 : 734,110.20 = 438,085.20 : x
  2. Step 2: Convert to fraction form
    489,406.80/734,110.20 = 438,085.20/x
  3. Step 3: Cross multiply
    489,406.80x = 734,110.20 × 438,085.20
  4. Step 4: Simplify right side
    489,406.80x = 321,602,813,789.04
  5. Step 5: Solve for x
    x = 321,602,813,789.04/489,406.80
  6. Step 6: Final answer
    x = 657,127.80

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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.