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Finding the Fourth Proportional to 383,623.60, 575,435.40 and 146,844.40

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Solution

The fourth proportional to 383,623.60, 575,435.40 and 146,844.40 is: 220,266.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,623.60 : 575,435.40 = 146,844.40 : x
  2. Step 2: Convert to fraction form
    383,623.60/575,435.40 = 146,844.40/x
  3. Step 3: Cross multiply
    383,623.60x = 575,435.40 × 146,844.40
  4. Step 4: Simplify right side
    383,623.60x = 84,499,466,051.76
  5. Step 5: Solve for x
    x = 84,499,466,051.76/383,623.60
  6. Step 6: Final answer
    x = 220,266.60

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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.