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Finding the Fourth Proportional to 460,784.31, 635,880.89 and 256,832.93

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Solution

The fourth proportional to 460,784.31, 635,880.89 and 256,832.93 is: 354,428.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,784.31 : 635,880.89 = 256,832.93 : x
  2. Step 2: Convert to fraction form
    460,784.31/635,880.89 = 256,832.93/x
  3. Step 3: Cross multiply
    460,784.31x = 635,880.89 × 256,832.93
  4. Step 4: Simplify right side
    460,784.31x = 163,315,147,646.14
  5. Step 5: Solve for x
    x = 163,315,147,646.14/460,784.31
  6. Step 6: Final answer
    x = 354,428.62

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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.