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Finding the Fourth Proportional to 304,607.98, 456,982.03 and 102,230.93

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Solution

The fourth proportional to 304,607.98, 456,982.03 and 102,230.93 is: 153,369.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,607.98 : 456,982.03 = 102,230.93 : x
  2. Step 2: Convert to fraction form
    304,607.98/456,982.03 = 102,230.93/x
  3. Step 3: Cross multiply
    304,607.98x = 456,982.03 × 102,230.93
  4. Step 4: Simplify right side
    304,607.98x = 46,717,697,920.19
  5. Step 5: Solve for x
    x = 46,717,697,920.19/304,607.98
  6. Step 6: Final answer
    x = 153,369.91

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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.