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Finding the Fourth Proportional to 471,525.76, 707,030.16 and 186,928

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Solution

The fourth proportional to 471,525.76, 707,030.16 and 186,928 is: 280,289.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,525.76 : 707,030.16 = 186,928 : x
  2. Step 2: Convert to fraction form
    471,525.76/707,030.16 = 186,928/x
  3. Step 3: Cross multiply
    471,525.76x = 707,030.16 × 186,928
  4. Step 4: Simplify right side
    471,525.76x = 132,163,733,748.48
  5. Step 5: Solve for x
    x = 132,163,733,748.48/471,525.76
  6. Step 6: Final answer
    x = 280,289.53

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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.