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Finding the Fourth Proportional to 706,033.64, 974,468.22 and 419,498.66

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Solution

The fourth proportional to 706,033.64, 974,468.22 and 419,498.66 is: 578,992.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,033.64 : 974,468.22 = 419,498.66 : x
  2. Step 2: Convert to fraction form
    706,033.64/974,468.22 = 419,498.66/x
  3. Step 3: Cross multiply
    706,033.64x = 974,468.22 × 419,498.66
  4. Step 4: Simplify right side
    706,033.64x = 408,788,112,502.59
  5. Step 5: Solve for x
    x = 408,788,112,502.59/706,033.64
  6. Step 6: Final answer
    x = 578,992.40

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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.