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Finding the Fourth Proportional to 314,938.63, 434,623.59 and 194,159.71

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Solution

The fourth proportional to 314,938.63, 434,623.59 and 194,159.71 is: 267,945.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,938.63 : 434,623.59 = 194,159.71 : x
  2. Step 2: Convert to fraction form
    314,938.63/434,623.59 = 194,159.71/x
  3. Step 3: Cross multiply
    314,938.63x = 434,623.59 × 194,159.71
  4. Step 4: Simplify right side
    314,938.63x = 84,386,390,193.56
  5. Step 5: Solve for x
    x = 84,386,390,193.56/314,938.63
  6. Step 6: Final answer
    x = 267,945.50

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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.