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Finding the Fourth Proportional to 284,483.90, 392,599.02 and 163,625

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Solution

The fourth proportional to 284,483.90, 392,599.02 and 163,625 is: 225,808.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,483.90 : 392,599.02 = 163,625 : x
  2. Step 2: Convert to fraction form
    284,483.90/392,599.02 = 163,625/x
  3. Step 3: Cross multiply
    284,483.90x = 392,599.02 × 163,625
  4. Step 4: Simplify right side
    284,483.90x = 64,239,014,647.50
  5. Step 5: Solve for x
    x = 64,239,014,647.50/284,483.90
  6. Step 6: Final answer
    x = 225,808.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.