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Finding the Fourth Proportional to 471,526.76, 707,031.66 and 186,929

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Solution

The fourth proportional to 471,526.76, 707,031.66 and 186,929 is: 280,291.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,526.76 : 707,031.66 = 186,929 : x
  2. Step 2: Convert to fraction form
    471,526.76/707,031.66 = 186,929/x
  3. Step 3: Cross multiply
    471,526.76x = 707,031.66 × 186,929
  4. Step 4: Simplify right side
    471,526.76x = 132,164,721,172.14
  5. Step 5: Solve for x
    x = 132,164,721,172.14/471,526.76
  6. Step 6: Final answer
    x = 280,291.03

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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.