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Finding the Fourth Proportional to 704,783, 973,407.84 and 464,141.18

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Solution

The fourth proportional to 704,783, 973,407.84 and 464,141.18 is: 641,046.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,783 : 973,407.84 = 464,141.18 : x
  2. Step 2: Convert to fraction form
    704,783/973,407.84 = 464,141.18/x
  3. Step 3: Cross multiply
    704,783x = 973,407.84 × 464,141.18
  4. Step 4: Simplify right side
    704,783x = 451,798,663,478.85
  5. Step 5: Solve for x
    x = 451,798,663,478.85/704,783
  6. Step 6: Final answer
    x = 641,046.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.