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Finding the Fourth Proportional to 333,463.80, 500,730.30 and 308,904.60

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Solution

The fourth proportional to 333,463.80, 500,730.30 and 308,904.60 is: 463,852.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,463.80 : 500,730.30 = 308,904.60 : x
  2. Step 2: Convert to fraction form
    333,463.80/500,730.30 = 308,904.60/x
  3. Step 3: Cross multiply
    333,463.80x = 500,730.30 × 308,904.60
  4. Step 4: Simplify right side
    333,463.80x = 154,677,893,029.38
  5. Step 5: Solve for x
    x = 154,677,893,029.38/333,463.80
  6. Step 6: Final answer
    x = 463,852.13

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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.