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Finding the Fourth Proportional to 569,458, 785,783.82 and 314,774.56

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Solution

The fourth proportional to 569,458, 785,783.82 and 314,774.56 is: 434,351.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,458 : 785,783.82 = 314,774.56 : x
  2. Step 2: Convert to fraction form
    569,458/785,783.82 = 314,774.56/x
  3. Step 3: Cross multiply
    569,458x = 785,783.82 × 314,774.56
  4. Step 4: Simplify right side
    569,458x = 247,344,756,195.62
  5. Step 5: Solve for x
    x = 247,344,756,195.62/569,458
  6. Step 6: Final answer
    x = 434,351.18

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1.5x scale

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.