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Finding the Fourth Proportional to 604,048.18, 906,051.30 and 154,772.80

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Solution

The fourth proportional to 604,048.18, 906,051.30 and 154,772.80 is: 232,153.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,048.18 : 906,051.30 = 154,772.80 : x
  2. Step 2: Convert to fraction form
    604,048.18/906,051.30 = 154,772.80/x
  3. Step 3: Cross multiply
    604,048.18x = 906,051.30 × 154,772.80
  4. Step 4: Simplify right side
    604,048.18x = 140,232,096,644.64
  5. Step 5: Solve for x
    x = 140,232,096,644.64/604,048.18
  6. Step 6: Final answer
    x = 232,153.83

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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.