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Finding the Fourth Proportional to 569,584.12, 785,994.69 and 314,918.50

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Solution

The fourth proportional to 569,584.12, 785,994.69 and 314,918.50 is: 434,570.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,584.12 : 785,994.69 = 314,918.50 : x
  2. Step 2: Convert to fraction form
    569,584.12/785,994.69 = 314,918.50/x
  3. Step 3: Cross multiply
    569,584.12x = 785,994.69 × 314,918.50
  4. Step 4: Simplify right side
    569,584.12x = 247,524,268,782.77
  5. Step 5: Solve for x
    x = 247,524,268,782.77/569,584.12
  6. Step 6: Final answer
    x = 434,570.17

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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.