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Finding the Fourth Proportional to 460,432.73, 635,312.84 and 256,478.57

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Solution

The fourth proportional to 460,432.73, 635,312.84 and 256,478.57 is: 353,893.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,432.73 : 635,312.84 = 256,478.57 : x
  2. Step 2: Convert to fraction form
    460,432.73/635,312.84 = 256,478.57/x
  3. Step 3: Cross multiply
    460,432.73x = 635,312.84 × 256,478.57
  4. Step 4: Simplify right side
    460,432.73x = 162,944,128,705.84
  5. Step 5: Solve for x
    x = 162,944,128,705.84/460,432.73
  6. Step 6: Final answer
    x = 353,893.46

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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.