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Finding the Fourth Proportional to 409,329.86, 564,887.06 and 237,248.49

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Solution

The fourth proportional to 409,329.86, 564,887.06 and 237,248.49 is: 327,409.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,329.86 : 564,887.06 = 237,248.49 : x
  2. Step 2: Convert to fraction form
    409,329.86/564,887.06 = 237,248.49/x
  3. Step 3: Cross multiply
    409,329.86x = 564,887.06 × 237,248.49
  4. Step 4: Simplify right side
    409,329.86x = 134,018,605,161.83
  5. Step 5: Solve for x
    x = 134,018,605,161.83/409,329.86
  6. Step 6: Final answer
    x = 327,409.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.