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Finding the Fourth Proportional to 564,008.40, 846,127.80 and 190,069.20

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Solution

The fourth proportional to 564,008.40, 846,127.80 and 190,069.20 is: 285,142.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,008.40 : 846,127.80 = 190,069.20 : x
  2. Step 2: Convert to fraction form
    564,008.40/846,127.80 = 190,069.20/x
  3. Step 3: Cross multiply
    564,008.40x = 846,127.80 × 190,069.20
  4. Step 4: Simplify right side
    564,008.40x = 160,822,834,043.76
  5. Step 5: Solve for x
    x = 160,822,834,043.76/564,008.40
  6. Step 6: Final answer
    x = 285,142.62

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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.