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Finding the Fourth Proportional to 565,427.34, 780,279.66 and 310,778.46

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Solution

The fourth proportional to 565,427.34, 780,279.66 and 310,778.46 is: 428,868.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,427.34 : 780,279.66 = 310,778.46 : x
  2. Step 2: Convert to fraction form
    565,427.34/780,279.66 = 310,778.46/x
  3. Step 3: Cross multiply
    565,427.34x = 780,279.66 × 310,778.46
  4. Step 4: Simplify right side
    565,427.34x = 242,494,111,104.12
  5. Step 5: Solve for x
    x = 242,494,111,104.12/565,427.34
  6. Step 6: Final answer
    x = 428,868.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.