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Finding the Fourth Proportional to 569,418.84, 785,767.16 and 314,753.63

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Solution

The fourth proportional to 569,418.84, 785,767.16 and 314,753.63 is: 434,342.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,418.84 : 785,767.16 = 314,753.63 : x
  2. Step 2: Convert to fraction form
    569,418.84/785,767.16 = 314,753.63/x
  3. Step 3: Cross multiply
    569,418.84x = 785,767.16 × 314,753.63
  4. Step 4: Simplify right side
    569,418.84x = 247,323,062,802.84
  5. Step 5: Solve for x
    x = 247,323,062,802.84/569,418.84
  6. Step 6: Final answer
    x = 434,342.96

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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.