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Finding the Fourth Proportional to 706,196.51, 973,636.45 and 457,395.80

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Solution

The fourth proportional to 706,196.51, 973,636.45 and 457,395.80 is: 630,613.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,196.51 : 973,636.45 = 457,395.80 : x
  2. Step 2: Convert to fraction form
    706,196.51/973,636.45 = 457,395.80/x
  3. Step 3: Cross multiply
    706,196.51x = 973,636.45 × 457,395.80
  4. Step 4: Simplify right side
    706,196.51x = 445,337,222,956.91
  5. Step 5: Solve for x
    x = 445,337,222,956.91/706,196.51
  6. Step 6: Final answer
    x = 630,613.74

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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.