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Finding the Fourth Proportional to 706,056, 973,686.72 and 464,543.52

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Solution

The fourth proportional to 706,056, 973,686.72 and 464,543.52 is: 640,628.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,056 : 973,686.72 = 464,543.52 : x
  2. Step 2: Convert to fraction form
    706,056/973,686.72 = 464,543.52/x
  3. Step 3: Cross multiply
    706,056x = 973,686.72 × 464,543.52
  4. Step 4: Simplify right side
    706,056x = 452,319,856,286.05
  5. Step 5: Solve for x
    x = 452,319,856,286.05/706,056
  6. Step 6: Final answer
    x = 640,628.87

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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.