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Finding the Fourth Proportional to 706,913.28, 975,218.88 and 420,270.72

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Solution

The fourth proportional to 706,913.28, 975,218.88 and 420,270.72 is: 579,782.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,913.28 : 975,218.88 = 420,270.72 : x
  2. Step 2: Convert to fraction form
    706,913.28/975,218.88 = 420,270.72/x
  3. Step 3: Cross multiply
    706,913.28x = 975,218.88 × 420,270.72
  4. Step 4: Simplify right side
    706,913.28x = 409,855,940,855.19
  5. Step 5: Solve for x
    x = 409,855,940,855.19/706,913.28
  6. Step 6: Final answer
    x = 579,782.49

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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.