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Finding the Fourth Proportional to 413,114.40, 619,817.40 and 146,883.60

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Solution

The fourth proportional to 413,114.40, 619,817.40 and 146,883.60 is: 220,377.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,114.40 : 619,817.40 = 146,883.60 : x
  2. Step 2: Convert to fraction form
    413,114.40/619,817.40 = 146,883.60/x
  3. Step 3: Cross multiply
    413,114.40x = 619,817.40 × 146,883.60
  4. Step 4: Simplify right side
    413,114.40x = 91,041,011,054.64
  5. Step 5: Solve for x
    x = 91,041,011,054.64/413,114.40
  6. Step 6: Final answer
    x = 220,377.24

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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.