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Finding the Fourth Proportional to 705,144.07, 973,900.02 and 475,304.95

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Solution

The fourth proportional to 705,144.07, 973,900.02 and 475,304.95 is: 656,460.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,144.07 : 973,900.02 = 475,304.95 : x
  2. Step 2: Convert to fraction form
    705,144.07/973,900.02 = 475,304.95/x
  3. Step 3: Cross multiply
    705,144.07x = 973,900.02 × 475,304.95
  4. Step 4: Simplify right side
    705,144.07x = 462,899,500,311.10
  5. Step 5: Solve for x
    x = 462,899,500,311.10/705,144.07
  6. Step 6: Final answer
    x = 656,460.89

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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.