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Finding the Fourth Proportional to 944,172, 1,415,227.68 and 464,729.76

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Solution

The fourth proportional to 944,172, 1,415,227.68 and 464,729.76 is: 696,587.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    944,172 : 1,415,227.68 = 464,729.76 : x
  2. Step 2: Convert to fraction form
    944,172/1,415,227.68 = 464,729.76/x
  3. Step 3: Cross multiply
    944,172x = 1,415,227.68 × 464,729.76
  4. Step 4: Simplify right side
    944,172x = 657,698,420,071.76
  5. Step 5: Solve for x
    x = 657,698,420,071.76/944,172
  6. Step 6: Final answer
    x = 696,587.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.