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Finding the Fourth Proportional to 260,042.40, 390,063.60 and 214,941.60

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Solution

The fourth proportional to 260,042.40, 390,063.60 and 214,941.60 is: 322,412.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,042.40 : 390,063.60 = 214,941.60 : x
  2. Step 2: Convert to fraction form
    260,042.40/390,063.60 = 214,941.60/x
  3. Step 3: Cross multiply
    260,042.40x = 390,063.60 × 214,941.60
  4. Step 4: Simplify right side
    260,042.40x = 83,840,894,285.76
  5. Step 5: Solve for x
    x = 83,840,894,285.76/260,042.40
  6. Step 6: Final answer
    x = 322,412.40

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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.