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Finding the Fourth Proportional to 569,470.86, 785,830.32 and 314,802

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Solution

The fourth proportional to 569,470.86, 785,830.32 and 314,802 is: 434,404.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,470.86 : 785,830.32 = 314,802 : x
  2. Step 2: Convert to fraction form
    569,470.86/785,830.32 = 314,802/x
  3. Step 3: Cross multiply
    569,470.86x = 785,830.32 × 314,802
  4. Step 4: Simplify right side
    569,470.86x = 247,380,956,396.64
  5. Step 5: Solve for x
    x = 247,380,956,396.64/569,470.86
  6. Step 6: Final answer
    x = 434,404.94

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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.