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Finding the Fourth Proportional to 564,637.91, 846,209.30 and 414,173.70

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Solution

The fourth proportional to 564,637.91, 846,209.30 and 414,173.70 is: 620,712.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,637.91 : 846,209.30 = 414,173.70 : x
  2. Step 2: Convert to fraction form
    564,637.91/846,209.30 = 414,173.70/x
  3. Step 3: Cross multiply
    564,637.91x = 846,209.30 × 414,173.70
  4. Step 4: Simplify right side
    564,637.91x = 350,477,634,684.54
  5. Step 5: Solve for x
    x = 350,477,634,684.54/564,637.91
  6. Step 6: Final answer
    x = 620,712.20

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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.