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Finding the Fourth Proportional to 285,583.40, 427,856.70 and 232,706.60

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Solution

The fourth proportional to 285,583.40, 427,856.70 and 232,706.60 is: 348,637.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,583.40 : 427,856.70 = 232,706.60 : x
  2. Step 2: Convert to fraction form
    285,583.40/427,856.70 = 232,706.60/x
  3. Step 3: Cross multiply
    285,583.40x = 427,856.70 × 232,706.60
  4. Step 4: Simplify right side
    285,583.40x = 99,565,077,944.22
  5. Step 5: Solve for x
    x = 99,565,077,944.22/285,583.40
  6. Step 6: Final answer
    x = 348,637.48

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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.