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Finding the Fourth Proportional to 704,780, 973,403.70 and 464,138.18

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Solution

The fourth proportional to 704,780, 973,403.70 and 464,138.18 is: 641,042.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,780 : 973,403.70 = 464,138.18 : x
  2. Step 2: Convert to fraction form
    704,780/973,403.70 = 464,138.18/x
  3. Step 3: Cross multiply
    704,780x = 973,403.70 × 464,138.18
  4. Step 4: Simplify right side
    704,780x = 451,793,821,723.27
  5. Step 5: Solve for x
    x = 451,793,821,723.27/704,780
  6. Step 6: Final answer
    x = 641,042.34

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1.5x scale

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.