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Finding the Fourth Proportional to 380,099.22, 524,547.81 and 210,349.14

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Solution

The fourth proportional to 380,099.22, 524,547.81 and 210,349.14 is: 290,287.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,099.22 : 524,547.81 = 210,349.14 : x
  2. Step 2: Convert to fraction form
    380,099.22/524,547.81 = 210,349.14/x
  3. Step 3: Cross multiply
    380,099.22x = 524,547.81 × 210,349.14
  4. Step 4: Simplify right side
    380,099.22x = 110,338,180,722.38
  5. Step 5: Solve for x
    x = 110,338,180,722.38/380,099.22
  6. Step 6: Final answer
    x = 290,287.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.