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Finding the Fourth Proportional to 461,409.34, 636,746.44 and 257,456.56

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Solution

The fourth proportional to 461,409.34, 636,746.44 and 257,456.56 is: 355,290.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,409.34 : 636,746.44 = 257,456.56 : x
  2. Step 2: Convert to fraction form
    461,409.34/636,746.44 = 257,456.56/x
  3. Step 3: Cross multiply
    461,409.34x = 636,746.44 × 257,456.56
  4. Step 4: Simplify right side
    461,409.34x = 163,934,548,034.65
  5. Step 5: Solve for x
    x = 163,934,548,034.65/461,409.34
  6. Step 6: Final answer
    x = 355,290.92

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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.