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Finding the Fourth Proportional to 553,466.80, 830,200.20 and 382,224.70

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Solution

The fourth proportional to 553,466.80, 830,200.20 and 382,224.70 is: 573,337.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,466.80 : 830,200.20 = 382,224.70 : x
  2. Step 2: Convert to fraction form
    553,466.80/830,200.20 = 382,224.70/x
  3. Step 3: Cross multiply
    553,466.80x = 830,200.20 × 382,224.70
  4. Step 4: Simplify right side
    553,466.80x = 317,323,022,384.94
  5. Step 5: Solve for x
    x = 317,323,022,384.94/553,466.80
  6. Step 6: Final answer
    x = 573,337.05

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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.