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Finding the Fourth Proportional to 389,465.60, 584,428.80 and 284,019.20

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Solution

The fourth proportional to 389,465.60, 584,428.80 and 284,019.20 is: 426,196.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,465.60 : 584,428.80 = 284,019.20 : x
  2. Step 2: Convert to fraction form
    389,465.60/584,428.80 = 284,019.20/x
  3. Step 3: Cross multiply
    389,465.60x = 584,428.80 × 284,019.20
  4. Step 4: Simplify right side
    389,465.60x = 165,989,000,232.96
  5. Step 5: Solve for x
    x = 165,989,000,232.96/389,465.60
  6. Step 6: Final answer
    x = 426,196.82

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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.