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Finding the Fourth Proportional to 569,225.34, 785,500.74 and 314,561.34

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Solution

The fourth proportional to 569,225.34, 785,500.74 and 314,561.34 is: 434,077.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,225.34 : 785,500.74 = 314,561.34 : x
  2. Step 2: Convert to fraction form
    569,225.34/785,500.74 = 314,561.34/x
  3. Step 3: Cross multiply
    569,225.34x = 785,500.74 × 314,561.34
  4. Step 4: Simplify right side
    569,225.34x = 247,088,165,345.39
  5. Step 5: Solve for x
    x = 247,088,165,345.39/569,225.34
  6. Step 6: Final answer
    x = 434,077.94

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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.