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Finding the Fourth Proportional to 569,866.51, 786,406.08 and 315,217.50

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Solution

The fourth proportional to 569,866.51, 786,406.08 and 315,217.50 is: 434,994.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,866.51 : 786,406.08 = 315,217.50 : x
  2. Step 2: Convert to fraction form
    569,866.51/786,406.08 = 315,217.50/x
  3. Step 3: Cross multiply
    569,866.51x = 786,406.08 × 315,217.50
  4. Step 4: Simplify right side
    569,866.51x = 247,888,958,522.40
  5. Step 5: Solve for x
    x = 247,888,958,522.40/569,866.51
  6. Step 6: Final answer
    x = 434,994.78

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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.