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Finding the Fourth Proportional to 470,125.76, 648,830.92 and 276,524.24

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Solution

The fourth proportional to 470,125.76, 648,830.92 and 276,524.24 is: 381,637.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,125.76 : 648,830.92 = 276,524.24 : x
  2. Step 2: Convert to fraction form
    470,125.76/648,830.92 = 276,524.24/x
  3. Step 3: Cross multiply
    470,125.76x = 648,830.92 × 276,524.24
  4. Step 4: Simplify right side
    470,125.76x = 179,417,477,041.50
  5. Step 5: Solve for x
    x = 179,417,477,041.50/470,125.76
  6. Step 6: Final answer
    x = 381,637.20

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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.