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Finding the Fourth Proportional to 569,448.50, 785,770.70 and 314,765.06

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Solution

The fourth proportional to 569,448.50, 785,770.70 and 314,765.06 is: 434,338.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,448.50 : 785,770.70 = 314,765.06 : x
  2. Step 2: Convert to fraction form
    569,448.50/785,770.70 = 314,765.06/x
  3. Step 3: Cross multiply
    569,448.50x = 785,770.70 × 314,765.06
  4. Step 4: Simplify right side
    569,448.50x = 247,333,161,531.74
  5. Step 5: Solve for x
    x = 247,333,161,531.74/569,448.50
  6. Step 6: Final answer
    x = 434,338.07

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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.