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Finding the Fourth Proportional to 564,637.30, 846,208.38 and 414,173.08

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Solution

The fourth proportional to 564,637.30, 846,208.38 and 414,173.08 is: 620,711.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,637.30 : 846,208.38 = 414,173.08 : x
  2. Step 2: Convert to fraction form
    564,637.30/846,208.38 = 414,173.08/x
  3. Step 3: Cross multiply
    564,637.30x = 846,208.38 × 414,173.08
  4. Step 4: Simplify right side
    564,637.30x = 350,476,731,066.41
  5. Step 5: Solve for x
    x = 350,476,731,066.41/564,637.30
  6. Step 6: Final answer
    x = 620,711.26

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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.