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Finding the Fourth Proportional to 551,618.38, 761,265.81 and 415,412.02

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Solution

The fourth proportional to 551,618.38, 761,265.81 and 415,412.02 is: 573,293.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,618.38 : 761,265.81 = 415,412.02 : x
  2. Step 2: Convert to fraction form
    551,618.38/761,265.81 = 415,412.02/x
  3. Step 3: Cross multiply
    551,618.38x = 761,265.81 × 415,412.02
  4. Step 4: Simplify right side
    551,618.38x = 316,238,967,889.04
  5. Step 5: Solve for x
    x = 316,238,967,889.04/551,618.38
  6. Step 6: Final answer
    x = 573,293.02

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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.