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Finding the Fourth Proportional to 565,294.68, 780,077.79 and 310,596.66

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Solution

The fourth proportional to 565,294.68, 780,077.79 and 310,596.66 is: 428,607.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,294.68 : 780,077.79 = 310,596.66 : x
  2. Step 2: Convert to fraction form
    565,294.68/780,077.79 = 310,596.66/x
  3. Step 3: Cross multiply
    565,294.68x = 780,077.79 × 310,596.66
  4. Step 4: Simplify right side
    565,294.68x = 242,289,556,114.18
  5. Step 5: Solve for x
    x = 242,289,556,114.18/565,294.68
  6. Step 6: Final answer
    x = 428,607.53

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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.