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Finding the Fourth Proportional to 377,298.42, 565,810.68 and 206,646.90

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Solution

The fourth proportional to 377,298.42, 565,810.68 and 206,646.90 is: 309,895.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,298.42 : 565,810.68 = 206,646.90 : x
  2. Step 2: Convert to fraction form
    377,298.42/565,810.68 = 206,646.90/x
  3. Step 3: Cross multiply
    377,298.42x = 565,810.68 × 206,646.90
  4. Step 4: Simplify right side
    377,298.42x = 116,923,023,008.89
  5. Step 5: Solve for x
    x = 116,923,023,008.89/377,298.42
  6. Step 6: Final answer
    x = 309,895.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.