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Finding the Fourth Proportional to 314,602.38, 434,159.19 and 171,370.08

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Solution

The fourth proportional to 314,602.38, 434,159.19 and 171,370.08 is: 236,495.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,602.38 : 434,159.19 = 171,370.08 : x
  2. Step 2: Convert to fraction form
    314,602.38/434,159.19 = 171,370.08/x
  3. Step 3: Cross multiply
    314,602.38x = 434,159.19 × 171,370.08
  4. Step 4: Simplify right side
    314,602.38x = 74,401,895,123.04
  5. Step 5: Solve for x
    x = 74,401,895,123.04/314,602.38
  6. Step 6: Final answer
    x = 236,495.02

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Why These Related Problems?

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