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Finding the Fourth Proportional to 315,308.46, 434,386.35 and 219,642.06

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Solution

The fourth proportional to 315,308.46, 434,386.35 and 219,642.06 is: 302,591.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,308.46 : 434,386.35 = 219,642.06 : x
  2. Step 2: Convert to fraction form
    315,308.46/434,386.35 = 219,642.06/x
  3. Step 3: Cross multiply
    315,308.46x = 434,386.35 × 219,642.06
  4. Step 4: Simplify right side
    315,308.46x = 95,409,512,749.88
  5. Step 5: Solve for x
    x = 95,409,512,749.88/315,308.46
  6. Step 6: Final answer
    x = 302,591.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.