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Finding the Fourth Proportional to 489,822.80, 734,734.20 and 209,368.40

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Solution

The fourth proportional to 489,822.80, 734,734.20 and 209,368.40 is: 314,052.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,822.80 : 734,734.20 = 209,368.40 : x
  2. Step 2: Convert to fraction form
    489,822.80/734,734.20 = 209,368.40/x
  3. Step 3: Cross multiply
    489,822.80x = 734,734.20 × 209,368.40
  4. Step 4: Simplify right side
    489,822.80x = 153,830,123,879.28
  5. Step 5: Solve for x
    x = 153,830,123,879.28/489,822.80
  6. Step 6: Final answer
    x = 314,052.60

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Similar ratio
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1.5x scale

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.