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Finding the Fourth Proportional to 374,681.30, 517,061.07 and 213,543.14

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Solution

The fourth proportional to 374,681.30, 517,061.07 and 213,543.14 is: 294,690.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,681.30 : 517,061.07 = 213,543.14 : x
  2. Step 2: Convert to fraction form
    374,681.30/517,061.07 = 213,543.14/x
  3. Step 3: Cross multiply
    374,681.30x = 517,061.07 × 213,543.14
  4. Step 4: Simplify right side
    374,681.30x = 110,414,841,874.25
  5. Step 5: Solve for x
    x = 110,414,841,874.25/374,681.30
  6. Step 6: Final answer
    x = 294,690.03

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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.