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Finding the Fourth Proportional to 564,019.40, 846,144.30 and 190,080.20

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Solution

The fourth proportional to 564,019.40, 846,144.30 and 190,080.20 is: 285,159.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,019.40 : 846,144.30 = 190,080.20 : x
  2. Step 2: Convert to fraction form
    564,019.40/846,144.30 = 190,080.20/x
  3. Step 3: Cross multiply
    564,019.40x = 846,144.30 × 190,080.20
  4. Step 4: Simplify right side
    564,019.40x = 160,835,277,772.86
  5. Step 5: Solve for x
    x = 160,835,277,772.86/564,019.40
  6. Step 6: Final answer
    x = 285,159.12

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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.