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Finding the Fourth Proportional to 563,612.40, 845,533.80 and 189,673.20

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Solution

The fourth proportional to 563,612.40, 845,533.80 and 189,673.20 is: 284,548.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,612.40 : 845,533.80 = 189,673.20 : x
  2. Step 2: Convert to fraction form
    563,612.40/845,533.80 = 189,673.20/x
  3. Step 3: Cross multiply
    563,612.40x = 845,533.80 × 189,673.20
  4. Step 4: Simplify right side
    563,612.40x = 160,375,101,554.16
  5. Step 5: Solve for x
    x = 160,375,101,554.16/563,612.40
  6. Step 6: Final answer
    x = 284,548.57

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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.