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Finding the Fourth Proportional to 510,543.06, 704,537.72 and 319,661.70

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Solution

The fourth proportional to 510,543.06, 704,537.72 and 319,661.70 is: 441,125.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,543.06 : 704,537.72 = 319,661.70 : x
  2. Step 2: Convert to fraction form
    510,543.06/704,537.72 = 319,661.70/x
  3. Step 3: Cross multiply
    510,543.06x = 704,537.72 × 319,661.70
  4. Step 4: Simplify right side
    510,543.06x = 225,213,725,289.32
  5. Step 5: Solve for x
    x = 225,213,725,289.32/510,543.06
  6. Step 6: Final answer
    x = 441,125.82

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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.