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Finding the Fourth Proportional to 706,690.56, 975,551.40 and 465,099.96

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Solution

The fourth proportional to 706,690.56, 975,551.40 and 465,099.96 is: 642,047.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,690.56 : 975,551.40 = 465,099.96 : x
  2. Step 2: Convert to fraction form
    706,690.56/975,551.40 = 465,099.96/x
  3. Step 3: Cross multiply
    706,690.56x = 975,551.40 × 465,099.96
  4. Step 4: Simplify right side
    706,690.56x = 453,728,917,117.94
  5. Step 5: Solve for x
    x = 453,728,917,117.94/706,690.56
  6. Step 6: Final answer
    x = 642,047.51

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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.