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Finding the Fourth Proportional to 229,506.40, 344,259.60 and 212,917.60

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Solution

The fourth proportional to 229,506.40, 344,259.60 and 212,917.60 is: 319,376.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,506.40 : 344,259.60 = 212,917.60 : x
  2. Step 2: Convert to fraction form
    229,506.40/344,259.60 = 212,917.60/x
  3. Step 3: Cross multiply
    229,506.40x = 344,259.60 × 212,917.60
  4. Step 4: Simplify right side
    229,506.40x = 73,298,927,808.96
  5. Step 5: Solve for x
    x = 73,298,927,808.96/229,506.40
  6. Step 6: Final answer
    x = 319,376.40

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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.