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Finding the Fourth Proportional to 463,706.32, 699,135.58 and 460,827.76

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Solution

The fourth proportional to 463,706.32, 699,135.58 and 460,827.76 is: 694,795.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,706.32 : 699,135.58 = 460,827.76 : x
  2. Step 2: Convert to fraction form
    463,706.32/699,135.58 = 460,827.76/x
  3. Step 3: Cross multiply
    463,706.32x = 699,135.58 × 460,827.76
  4. Step 4: Simplify right side
    463,706.32x = 322,181,083,267.70
  5. Step 5: Solve for x
    x = 322,181,083,267.70/463,706.32
  6. Step 6: Final answer
    x = 694,795.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.