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Finding the Fourth Proportional to 833,245.86, 1,149,902.91 and 470,685

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Solution

The fourth proportional to 833,245.86, 1,149,902.91 and 470,685 is: 649,558.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    833,245.86 : 1,149,902.91 = 470,685 : x
  2. Step 2: Convert to fraction form
    833,245.86/1,149,902.91 = 470,685/x
  3. Step 3: Cross multiply
    833,245.86x = 1,149,902.91 × 470,685
  4. Step 4: Simplify right side
    833,245.86x = 541,242,051,193.35
  5. Step 5: Solve for x
    x = 541,242,051,193.35/833,245.86
  6. Step 6: Final answer
    x = 649,558.64

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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.