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Finding the Fourth Proportional to 685,894.86, 946,783.35 and 558,349.02

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Solution

The fourth proportional to 685,894.86, 946,783.35 and 558,349.02 is: 770,723.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,894.86 : 946,783.35 = 558,349.02 : x
  2. Step 2: Convert to fraction form
    685,894.86/946,783.35 = 558,349.02/x
  3. Step 3: Cross multiply
    685,894.86x = 946,783.35 × 558,349.02
  4. Step 4: Simplify right side
    685,894.86x = 528,635,555,624.82
  5. Step 5: Solve for x
    x = 528,635,555,624.82/685,894.86
  6. Step 6: Final answer
    x = 770,723.89

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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.