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Finding the Fourth Proportional to 357,587.91, 493,252.42 and 212,295.07

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Solution

The fourth proportional to 357,587.91, 493,252.42 and 212,295.07 is: 292,837.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,587.91 : 493,252.42 = 212,295.07 : x
  2. Step 2: Convert to fraction form
    357,587.91/493,252.42 = 212,295.07/x
  3. Step 3: Cross multiply
    357,587.91x = 493,252.42 × 212,295.07
  4. Step 4: Simplify right side
    357,587.91x = 104,715,057,031.57
  5. Step 5: Solve for x
    x = 104,715,057,031.57/357,587.91
  6. Step 6: Final answer
    x = 292,837.24

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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.