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Finding the Fourth Proportional to 497,069.48, 685,955.76 and 270,714.98

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Solution

The fourth proportional to 497,069.48, 685,955.76 and 270,714.98 is: 373,586.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,069.48 : 685,955.76 = 270,714.98 : x
  2. Step 2: Convert to fraction form
    497,069.48/685,955.76 = 270,714.98/x
  3. Step 3: Cross multiply
    497,069.48x = 685,955.76 × 270,714.98
  4. Step 4: Simplify right side
    497,069.48x = 185,698,499,849.29
  5. Step 5: Solve for x
    x = 185,698,499,849.29/497,069.48
  6. Step 6: Final answer
    x = 373,586.61

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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.