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Finding the Fourth Proportional to 507,165.15, 760,821.90 and 152,207.22

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Solution

The fourth proportional to 507,165.15, 760,821.90 and 152,207.22 is: 228,333.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,165.15 : 760,821.90 = 152,207.22 : x
  2. Step 2: Convert to fraction form
    507,165.15/760,821.90 = 152,207.22/x
  3. Step 3: Cross multiply
    507,165.15x = 760,821.90 × 152,207.22
  4. Step 4: Simplify right side
    507,165.15x = 115,802,586,314.12
  5. Step 5: Solve for x
    x = 115,802,586,314.12/507,165.15
  6. Step 6: Final answer
    x = 228,333.09

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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.