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Finding the Fourth Proportional to 461,537.15, 636,919.88 and 257,585.83

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Solution

The fourth proportional to 461,537.15, 636,919.88 and 257,585.83 is: 355,467.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,537.15 : 636,919.88 = 257,585.83 : x
  2. Step 2: Convert to fraction form
    461,537.15/636,919.88 = 257,585.83/x
  3. Step 3: Cross multiply
    461,537.15x = 636,919.88 × 257,585.83
  4. Step 4: Simplify right side
    461,537.15x = 164,061,533,053.07
  5. Step 5: Solve for x
    x = 164,061,533,053.07/461,537.15
  6. Step 6: Final answer
    x = 355,467.67

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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.