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Finding the Fourth Proportional to 458,465.60, 687,698.40 and 309,166.40

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Solution

The fourth proportional to 458,465.60, 687,698.40 and 309,166.40 is: 463,749.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,465.60 : 687,698.40 = 309,166.40 : x
  2. Step 2: Convert to fraction form
    458,465.60/687,698.40 = 309,166.40/x
  3. Step 3: Cross multiply
    458,465.60x = 687,698.40 × 309,166.40
  4. Step 4: Simplify right side
    458,465.60x = 212,613,238,613.76
  5. Step 5: Solve for x
    x = 212,613,238,613.76/458,465.60
  6. Step 6: Final answer
    x = 463,749.60

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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.