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Finding the Fourth Proportional to 524,652.83, 724,141.92 and 306,962.80

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Solution

The fourth proportional to 524,652.83, 724,141.92 and 306,962.80 is: 423,679.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,652.83 : 724,141.92 = 306,962.80 : x
  2. Step 2: Convert to fraction form
    524,652.83/724,141.92 = 306,962.80/x
  3. Step 3: Cross multiply
    524,652.83x = 724,141.92 × 306,962.80
  4. Step 4: Simplify right side
    524,652.83x = 222,284,630,701.33
  5. Step 5: Solve for x
    x = 222,284,630,701.33/524,652.83
  6. Step 6: Final answer
    x = 423,679.47

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1.5x scale

Why These Related Problems?

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