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Finding the Fourth Proportional to 682,705, 1,024,154.70 and 362,773.36

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Solution

The fourth proportional to 682,705, 1,024,154.70 and 362,773.36 is: 544,211.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,705 : 1,024,154.70 = 362,773.36 : x
  2. Step 2: Convert to fraction form
    682,705/1,024,154.70 = 362,773.36/x
  3. Step 3: Cross multiply
    682,705x = 1,024,154.70 × 362,773.36
  4. Step 4: Simplify right side
    682,705x = 371,536,041,678.79
  5. Step 5: Solve for x
    x = 371,536,041,678.79/682,705
  6. Step 6: Final answer
    x = 544,211.69

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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.