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Finding the Fourth Proportional to 569,045.22, 785,035.70 and 342,559.50

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Solution

The fourth proportional to 569,045.22, 785,035.70 and 342,559.50 is: 472,583.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,045.22 : 785,035.70 = 342,559.50 : x
  2. Step 2: Convert to fraction form
    569,045.22/785,035.70 = 342,559.50/x
  3. Step 3: Cross multiply
    569,045.22x = 785,035.70 × 342,559.50
  4. Step 4: Simplify right side
    569,045.22x = 268,921,436,874.15
  5. Step 5: Solve for x
    x = 268,921,436,874.15/569,045.22
  6. Step 6: Final answer
    x = 472,583.60

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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.