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Finding the Fourth Proportional to 456,753.60, 684,211.86 and 256,774.32

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Solution

The fourth proportional to 456,753.60, 684,211.86 and 256,774.32 is: 384,645.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,753.60 : 684,211.86 = 256,774.32 : x
  2. Step 2: Convert to fraction form
    456,753.60/684,211.86 = 256,774.32/x
  3. Step 3: Cross multiply
    456,753.60x = 684,211.86 × 256,774.32
  4. Step 4: Simplify right side
    456,753.60x = 175,688,035,087.44
  5. Step 5: Solve for x
    x = 175,688,035,087.44/456,753.60
  6. Step 6: Final answer
    x = 384,645.10

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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.