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Finding the Fourth Proportional to 300,547, 414,767.84 and 166,411

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Solution

The fourth proportional to 300,547, 414,767.84 and 166,411 is: 229,654.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,547 : 414,767.84 = 166,411 : x
  2. Step 2: Convert to fraction form
    300,547/414,767.84 = 166,411/x
  3. Step 3: Cross multiply
    300,547x = 414,767.84 × 166,411
  4. Step 4: Simplify right side
    300,547x = 69,021,931,022.24
  5. Step 5: Solve for x
    x = 69,021,931,022.24/300,547
  6. Step 6: Final answer
    x = 229,654.37

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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.