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Finding the Fourth Proportional to 354,683.49, 532,025.84 and 284,055.34

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Solution

The fourth proportional to 354,683.49, 532,025.84 and 284,055.34 is: 426,083.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,683.49 : 532,025.84 = 284,055.34 : x
  2. Step 2: Convert to fraction form
    354,683.49/532,025.84 = 284,055.34/x
  3. Step 3: Cross multiply
    354,683.49x = 532,025.84 × 284,055.34
  4. Step 4: Simplify right side
    354,683.49x = 151,124,778,209.86
  5. Step 5: Solve for x
    x = 151,124,778,209.86/354,683.49
  6. Step 6: Final answer
    x = 426,083.49

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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.