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Finding the Fourth Proportional to 460,412.58, 635,285.16 and 256,458.30

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Solution

The fourth proportional to 460,412.58, 635,285.16 and 256,458.30 is: 353,865.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,412.58 : 635,285.16 = 256,458.30 : x
  2. Step 2: Convert to fraction form
    460,412.58/635,285.16 = 256,458.30/x
  3. Step 3: Cross multiply
    460,412.58x = 635,285.16 × 256,458.30
  4. Step 4: Simplify right side
    460,412.58x = 162,924,152,148.83
  5. Step 5: Solve for x
    x = 162,924,152,148.83/460,412.58
  6. Step 6: Final answer
    x = 353,865.55

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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.