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Finding the Fourth Proportional to 507,108.78, 760,822.34 and 304,937.64

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Solution

The fourth proportional to 507,108.78, 760,822.34 and 304,937.64 is: 457,502.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,108.78 : 760,822.34 = 304,937.64 : x
  2. Step 2: Convert to fraction form
    507,108.78/760,822.34 = 304,937.64/x
  3. Step 3: Cross multiply
    507,108.78x = 760,822.34 × 304,937.64
  4. Step 4: Simplify right side
    507,108.78x = 232,003,367,294.19
  5. Step 5: Solve for x
    x = 232,003,367,294.19/507,108.78
  6. Step 6: Final answer
    x = 457,502.17

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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.