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Finding the Fourth Proportional to 295,425.46, 407,547.75 and 214,817.50

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Solution

The fourth proportional to 295,425.46, 407,547.75 and 214,817.50 is: 296,346.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,425.46 : 407,547.75 = 214,817.50 : x
  2. Step 2: Convert to fraction form
    295,425.46/407,547.75 = 214,817.50/x
  3. Step 3: Cross multiply
    295,425.46x = 407,547.75 × 214,817.50
  4. Step 4: Simplify right side
    295,425.46x = 87,548,388,785.63
  5. Step 5: Solve for x
    x = 87,548,388,785.63/295,425.46
  6. Step 6: Final answer
    x = 296,346.80

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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.