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Finding the Fourth Proportional to 706,194.77, 973,634.06 and 457,394.06

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Solution

The fourth proportional to 706,194.77, 973,634.06 and 457,394.06 is: 630,611.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,194.77 : 973,634.06 = 457,394.06 : x
  2. Step 2: Convert to fraction form
    706,194.77/973,634.06 = 457,394.06/x
  3. Step 3: Cross multiply
    706,194.77x = 973,634.06 × 457,394.06
  4. Step 4: Simplify right side
    706,194.77x = 445,334,428,502.54
  5. Step 5: Solve for x
    x = 445,334,428,502.54/706,194.77
  6. Step 6: Final answer
    x = 630,611.34

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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.