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Finding the Fourth Proportional to 460,085.98, 634,853.32 and 256,108.58

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Solution

The fourth proportional to 460,085.98, 634,853.32 and 256,108.58 is: 353,393.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,085.98 : 634,853.32 = 256,108.58 : x
  2. Step 2: Convert to fraction form
    460,085.98/634,853.32 = 256,108.58/x
  3. Step 3: Cross multiply
    460,085.98x = 634,853.32 × 256,108.58
  4. Step 4: Simplify right side
    460,085.98x = 162,591,382,293.49
  5. Step 5: Solve for x
    x = 162,591,382,293.49/460,085.98
  6. Step 6: Final answer
    x = 353,393.47

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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.