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Finding the Fourth Proportional to 357,235.15, 492,760.26 and 211,938.06

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Solution

The fourth proportional to 357,235.15, 492,760.26 and 211,938.06 is: 292,341.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,235.15 : 492,760.26 = 211,938.06 : x
  2. Step 2: Convert to fraction form
    357,235.15/492,760.26 = 211,938.06/x
  3. Step 3: Cross multiply
    357,235.15x = 492,760.26 × 211,938.06
  4. Step 4: Simplify right side
    357,235.15x = 104,434,653,549.50
  5. Step 5: Solve for x
    x = 104,434,653,549.50/357,235.15
  6. Step 6: Final answer
    x = 292,341.48

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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.