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Finding the Fourth Proportional to 704,776, 973,398.18 and 464,134.18

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Solution

The fourth proportional to 704,776, 973,398.18 and 464,134.18 is: 641,036.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,776 : 973,398.18 = 464,134.18 : x
  2. Step 2: Convert to fraction form
    704,776/973,398.18 = 464,134.18/x
  3. Step 3: Cross multiply
    704,776x = 973,398.18 × 464,134.18
  4. Step 4: Simplify right side
    704,776x = 451,787,366,087.79
  5. Step 5: Solve for x
    x = 451,787,366,087.79/704,776
  6. Step 6: Final answer
    x = 641,036.82

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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.