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Finding the Fourth Proportional to 564,017.40, 846,141.30 and 190,078.20

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Solution

The fourth proportional to 564,017.40, 846,141.30 and 190,078.20 is: 285,156.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,017.40 : 846,141.30 = 190,078.20 : x
  2. Step 2: Convert to fraction form
    564,017.40/846,141.30 = 190,078.20/x
  3. Step 3: Cross multiply
    564,017.40x = 846,141.30 × 190,078.20
  4. Step 4: Simplify right side
    564,017.40x = 160,833,015,249.66
  5. Step 5: Solve for x
    x = 160,833,015,249.66/564,017.40
  6. Step 6: Final answer
    x = 285,156.12

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1.5x scale

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.