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Finding the Fourth Proportional to 714,841.06, 986,702.10 and 460,192.25

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Solution

The fourth proportional to 714,841.06, 986,702.10 and 460,192.25 is: 635,207.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,841.06 : 986,702.10 = 460,192.25 : x
  2. Step 2: Convert to fraction form
    714,841.06/986,702.10 = 460,192.25/x
  3. Step 3: Cross multiply
    714,841.06x = 986,702.10 × 460,192.25
  4. Step 4: Simplify right side
    714,841.06x = 454,072,659,478.73
  5. Step 5: Solve for x
    x = 454,072,659,478.73/714,841.06
  6. Step 6: Final answer
    x = 635,207.86

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Double scale
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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.