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Finding the Fourth Proportional to 584,483.76, 876,564.80 and 200,226.95

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Solution

The fourth proportional to 584,483.76, 876,564.80 and 200,226.95 is: 300,285.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,483.76 : 876,564.80 = 200,226.95 : x
  2. Step 2: Convert to fraction form
    584,483.76/876,564.80 = 200,226.95/x
  3. Step 3: Cross multiply
    584,483.76x = 876,564.80 × 200,226.95
  4. Step 4: Simplify right side
    584,483.76x = 175,511,890,997.40
  5. Step 5: Solve for x
    x = 175,511,890,997.40/584,483.76
  6. Step 6: Final answer
    x = 300,285.32

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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.