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Finding the Fourth Proportional to 458,707.60, 686,117.40 and 411,662.80

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Solution

The fourth proportional to 458,707.60, 686,117.40 and 411,662.80 is: 615,749.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,707.60 : 686,117.40 = 411,662.80 : x
  2. Step 2: Convert to fraction form
    458,707.60/686,117.40 = 411,662.80/x
  3. Step 3: Cross multiply
    458,707.60x = 686,117.40 × 411,662.80
  4. Step 4: Simplify right side
    458,707.60x = 282,449,010,012.72
  5. Step 5: Solve for x
    x = 282,449,010,012.72/458,707.60
  6. Step 6: Final answer
    x = 615,749.58

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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.