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Finding the Fourth Proportional to 686,903.90, 1,030,355.85 and 313,655.90

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Solution

The fourth proportional to 686,903.90, 1,030,355.85 and 313,655.90 is: 470,483.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,903.90 : 1,030,355.85 = 313,655.90 : x
  2. Step 2: Convert to fraction form
    686,903.90/1,030,355.85 = 313,655.90/x
  3. Step 3: Cross multiply
    686,903.90x = 1,030,355.85 × 313,655.90
  4. Step 4: Simplify right side
    686,903.90x = 323,177,191,452.02
  5. Step 5: Solve for x
    x = 323,177,191,452.02/686,903.90
  6. Step 6: Final answer
    x = 470,483.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.