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Finding the Fourth Proportional to 350,763.16, 524,828.44 and 208,086.01

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Solution

The fourth proportional to 350,763.16, 524,828.44 and 208,086.01 is: 311,348.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,763.16 : 524,828.44 = 208,086.01 : x
  2. Step 2: Convert to fraction form
    350,763.16/524,828.44 = 208,086.01/x
  3. Step 3: Cross multiply
    350,763.16x = 524,828.44 × 208,086.01
  4. Step 4: Simplify right side
    350,763.16x = 109,209,457,329.08
  5. Step 5: Solve for x
    x = 109,209,457,329.08/350,763.16
  6. Step 6: Final answer
    x = 311,348.14

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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.