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Finding the Fourth Proportional to 357,082.08, 491,827.32 and 266,146.62

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Solution

The fourth proportional to 357,082.08, 491,827.32 and 266,146.62 is: 366,577.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,082.08 : 491,827.32 = 266,146.62 : x
  2. Step 2: Convert to fraction form
    357,082.08/491,827.32 = 266,146.62/x
  3. Step 3: Cross multiply
    357,082.08x = 491,827.32 × 266,146.62
  4. Step 4: Simplify right side
    357,082.08x = 130,898,178,841.66
  5. Step 5: Solve for x
    x = 130,898,178,841.66/357,082.08
  6. Step 6: Final answer
    x = 366,577.28

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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.