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Finding the Fourth Proportional to 614,034.24, 920,256.44 and 424,191.70

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Solution

The fourth proportional to 614,034.24, 920,256.44 and 424,191.70 is: 635,738.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,034.24 : 920,256.44 = 424,191.70 : x
  2. Step 2: Convert to fraction form
    614,034.24/920,256.44 = 424,191.70/x
  3. Step 3: Cross multiply
    614,034.24x = 920,256.44 × 424,191.70
  4. Step 4: Simplify right side
    614,034.24x = 390,365,143,719.55
  5. Step 5: Solve for x
    x = 390,365,143,719.55/614,034.24
  6. Step 6: Final answer
    x = 635,738.40

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