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Finding the Fourth Proportional to 706,193.92, 973,632.88 and 457,393.21

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Solution

The fourth proportional to 706,193.92, 973,632.88 and 457,393.21 is: 630,610.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,193.92 : 973,632.88 = 457,393.21 : x
  2. Step 2: Convert to fraction form
    706,193.92/973,632.88 = 457,393.21/x
  3. Step 3: Cross multiply
    706,193.92x = 973,632.88 × 457,393.21
  4. Step 4: Simplify right side
    706,193.92x = 445,333,068,344.75
  5. Step 5: Solve for x
    x = 445,333,068,344.75/706,193.92
  6. Step 6: Final answer
    x = 630,610.17

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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.