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Finding the Fourth Proportional to 489,200.80, 734,492.40 and 302,576.80

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Solution

The fourth proportional to 489,200.80, 734,492.40 and 302,576.80 is: 454,292.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,200.80 : 734,492.40 = 302,576.80 : x
  2. Step 2: Convert to fraction form
    489,200.80/734,492.40 = 302,576.80/x
  3. Step 3: Cross multiply
    489,200.80x = 734,492.40 × 302,576.80
  4. Step 4: Simplify right side
    489,200.80x = 222,240,360,016.32
  5. Step 5: Solve for x
    x = 222,240,360,016.32/489,200.80
  6. Step 6: Final answer
    x = 454,292.72

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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.