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Finding the Fourth Proportional to 470,966.42, 649,950.77 and 269,801.30

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Solution

The fourth proportional to 470,966.42, 649,950.77 and 269,801.30 is: 372,335.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,966.42 : 649,950.77 = 269,801.30 : x
  2. Step 2: Convert to fraction form
    470,966.42/649,950.77 = 269,801.30/x
  3. Step 3: Cross multiply
    470,966.42x = 649,950.77 × 269,801.30
  4. Step 4: Simplify right side
    470,966.42x = 175,357,562,682.00
  5. Step 5: Solve for x
    x = 175,357,562,682.00/470,966.42
  6. Step 6: Final answer
    x = 372,335.60

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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.