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Finding the Fourth Proportional to 470,212.42, 648,900.66 and 266,257.84

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Solution

The fourth proportional to 470,212.42, 648,900.66 and 266,257.84 is: 367,440.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,212.42 : 648,900.66 = 266,257.84 : x
  2. Step 2: Convert to fraction form
    470,212.42/648,900.66 = 266,257.84/x
  3. Step 3: Cross multiply
    470,212.42x = 648,900.66 × 266,257.84
  4. Step 4: Simplify right side
    470,212.42x = 172,774,888,106.17
  5. Step 5: Solve for x
    x = 172,774,888,106.17/470,212.42
  6. Step 6: Final answer
    x = 367,440.08

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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.