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Finding the Fourth Proportional to 510,879.54, 705,013.98 and 296,144.16

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Solution

The fourth proportional to 510,879.54, 705,013.98 and 296,144.16 is: 408,679.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,879.54 : 705,013.98 = 296,144.16 : x
  2. Step 2: Convert to fraction form
    510,879.54/705,013.98 = 296,144.16/x
  3. Step 3: Cross multiply
    510,879.54x = 705,013.98 × 296,144.16
  4. Step 4: Simplify right side
    510,879.54x = 208,785,772,895.36
  5. Step 5: Solve for x
    x = 208,785,772,895.36/510,879.54
  6. Step 6: Final answer
    x = 408,679.07

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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.