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Finding the Fourth Proportional to 706,200.55, 973,642.03 and 457,399.84

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Solution

The fourth proportional to 706,200.55, 973,642.03 and 457,399.84 is: 630,619.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,200.55 : 973,642.03 = 457,399.84 : x
  2. Step 2: Convert to fraction form
    706,200.55/973,642.03 = 457,399.84/x
  3. Step 3: Cross multiply
    706,200.55x = 973,642.03 × 457,399.84
  4. Step 4: Simplify right side
    706,200.55x = 445,343,705,161.67
  5. Step 5: Solve for x
    x = 445,343,705,161.67/706,200.55
  6. Step 6: Final answer
    x = 630,619.31

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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.