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Finding the Fourth Proportional to 714,878.82, 986,286.14 and 456,906.76

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Solution

The fourth proportional to 714,878.82, 986,286.14 and 456,906.76 is: 630,373.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,878.82 : 986,286.14 = 456,906.76 : x
  2. Step 2: Convert to fraction form
    714,878.82/986,286.14 = 456,906.76/x
  3. Step 3: Cross multiply
    714,878.82x = 986,286.14 × 456,906.76
  4. Step 4: Simplify right side
    714,878.82x = 450,640,804,660.31
  5. Step 5: Solve for x
    x = 450,640,804,660.31/714,878.82
  6. Step 6: Final answer
    x = 630,373.70

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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.