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Finding the Fourth Proportional to 467,303.40, 701,022.75 and 147,346.65

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Solution

The fourth proportional to 467,303.40, 701,022.75 and 147,346.65 is: 221,041.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,303.40 : 701,022.75 = 147,346.65 : x
  2. Step 2: Convert to fraction form
    467,303.40/701,022.75 = 147,346.65/x
  3. Step 3: Cross multiply
    467,303.40x = 701,022.75 × 147,346.65
  4. Step 4: Simplify right side
    467,303.40x = 103,293,353,786.29
  5. Step 5: Solve for x
    x = 103,293,353,786.29/467,303.40
  6. Step 6: Final answer
    x = 221,041.31

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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.