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Finding the Fourth Proportional to 584,447.10, 877,707.45 and 451,650.30

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Solution

The fourth proportional to 584,447.10, 877,707.45 and 451,650.30 is: 678,276.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,447.10 : 877,707.45 = 451,650.30 : x
  2. Step 2: Convert to fraction form
    584,447.10/877,707.45 = 451,650.30/x
  3. Step 3: Cross multiply
    584,447.10x = 877,707.45 × 451,650.30
  4. Step 4: Simplify right side
    584,447.10x = 396,416,833,104.74
  5. Step 5: Solve for x
    x = 396,416,833,104.74/584,447.10
  6. Step 6: Final answer
    x = 678,276.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.