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Finding the Fourth Proportional to 357,234.15, 492,758.88 and 211,937.06

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Solution

The fourth proportional to 357,234.15, 492,758.88 and 211,937.06 is: 292,340.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,234.15 : 492,758.88 = 211,937.06 : x
  2. Step 2: Convert to fraction form
    357,234.15/492,758.88 = 211,937.06/x
  3. Step 3: Cross multiply
    357,234.15x = 492,758.88 × 211,937.06
  4. Step 4: Simplify right side
    357,234.15x = 104,433,865,852.30
  5. Step 5: Solve for x
    x = 104,433,865,852.30/357,234.15
  6. Step 6: Final answer
    x = 292,340.10

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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.