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Finding the Fourth Proportional to 564,832.20, 847,248.30 and 190,849.80

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Solution

The fourth proportional to 564,832.20, 847,248.30 and 190,849.80 is: 286,274.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,832.20 : 847,248.30 = 190,849.80 : x
  2. Step 2: Convert to fraction form
    564,832.20/847,248.30 = 190,849.80/x
  3. Step 3: Cross multiply
    564,832.20x = 847,248.30 × 190,849.80
  4. Step 4: Simplify right side
    564,832.20x = 161,697,168,605.34
  5. Step 5: Solve for x
    x = 161,697,168,605.34/564,832.20
  6. Step 6: Final answer
    x = 286,274.70

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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.