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Finding the Fourth Proportional to 359,090.16, 495,569.79 and 206,153.25

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Solution

The fourth proportional to 359,090.16, 495,569.79 and 206,153.25 is: 284,506.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,090.16 : 495,569.79 = 206,153.25 : x
  2. Step 2: Convert to fraction form
    359,090.16/495,569.79 = 206,153.25/x
  3. Step 3: Cross multiply
    359,090.16x = 495,569.79 × 206,153.25
  4. Step 4: Simplify right side
    359,090.16x = 102,163,322,810.32
  5. Step 5: Solve for x
    x = 102,163,322,810.32/359,090.16
  6. Step 6: Final answer
    x = 284,506.05

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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.