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Finding the Fourth Proportional to 256,907.77, 384,862.96 and 189,317.13

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Solution

The fourth proportional to 256,907.77, 384,862.96 and 189,317.13 is: 283,608.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,907.77 : 384,862.96 = 189,317.13 : x
  2. Step 2: Convert to fraction form
    256,907.77/384,862.96 = 189,317.13/x
  3. Step 3: Cross multiply
    256,907.77x = 384,862.96 × 189,317.13
  4. Step 4: Simplify right side
    256,907.77x = 72,861,151,030.50
  5. Step 5: Solve for x
    x = 72,861,151,030.50/256,907.77
  6. Step 6: Final answer
    x = 283,608.20

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1.5x scale

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.