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Finding the Fourth Proportional to 569,299.84, 785,633.92 and 314,651.04

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Solution

The fourth proportional to 569,299.84, 785,633.92 and 314,651.04 is: 434,218.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,299.84 : 785,633.92 = 314,651.04 : x
  2. Step 2: Convert to fraction form
    569,299.84/785,633.92 = 314,651.04/x
  3. Step 3: Cross multiply
    569,299.84x = 785,633.92 × 314,651.04
  4. Step 4: Simplify right side
    569,299.84x = 247,200,529,987.28
  5. Step 5: Solve for x
    x = 247,200,529,987.28/569,299.84
  6. Step 6: Final answer
    x = 434,218.51

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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.