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Finding the Fourth Proportional to 306,657, 459,985.50 and 85,041

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Solution

The fourth proportional to 306,657, 459,985.50 and 85,041 is: 127,561.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,657 : 459,985.50 = 85,041 : x
  2. Step 2: Convert to fraction form
    306,657/459,985.50 = 85,041/x
  3. Step 3: Cross multiply
    306,657x = 459,985.50 × 85,041
  4. Step 4: Simplify right side
    306,657x = 39,117,626,905.50
  5. Step 5: Solve for x
    x = 39,117,626,905.50/306,657
  6. Step 6: Final answer
    x = 127,561.50

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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.