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Finding the Fourth Proportional to 403,381.90, 604,261.49 and 186,937.47

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Solution

The fourth proportional to 403,381.90, 604,261.49 and 186,937.47 is: 280,030.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,381.90 : 604,261.49 = 186,937.47 : x
  2. Step 2: Convert to fraction form
    403,381.90/604,261.49 = 186,937.47/x
  3. Step 3: Cross multiply
    403,381.90x = 604,261.49 × 186,937.47
  4. Step 4: Simplify right side
    403,381.90x = 112,959,114,801.63
  5. Step 5: Solve for x
    x = 112,959,114,801.63/403,381.90
  6. Step 6: Final answer
    x = 280,030.20

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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.