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Finding the Fourth Proportional to 314,074.69, 470,882.36 and 100,721.16

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Solution

The fourth proportional to 314,074.69, 470,882.36 and 100,721.16 is: 151,008.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,074.69 : 470,882.36 = 100,721.16 : x
  2. Step 2: Convert to fraction form
    314,074.69/470,882.36 = 100,721.16/x
  3. Step 3: Cross multiply
    314,074.69x = 470,882.36 × 100,721.16
  4. Step 4: Simplify right side
    314,074.69x = 47,427,817,379.28
  5. Step 5: Solve for x
    x = 47,427,817,379.28/314,074.69
  6. Step 6: Final answer
    x = 151,008.08

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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.