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Finding the Fourth Proportional to 565,705.13, 849,090.90 and 206,223.58

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Solution

The fourth proportional to 565,705.13, 849,090.90 and 206,223.58 is: 309,529.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,705.13 : 849,090.90 = 206,223.58 : x
  2. Step 2: Convert to fraction form
    565,705.13/849,090.90 = 206,223.58/x
  3. Step 3: Cross multiply
    565,705.13x = 849,090.90 × 206,223.58
  4. Step 4: Simplify right side
    565,705.13x = 175,102,566,978.12
  5. Step 5: Solve for x
    x = 175,102,566,978.12/565,705.13
  6. Step 6: Final answer
    x = 309,529.75

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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.