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Finding the Fourth Proportional to 314,784.01, 434,402 and 171,544.08

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Solution

The fourth proportional to 314,784.01, 434,402 and 171,544.08 is: 236,730.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,784.01 : 434,402 = 171,544.08 : x
  2. Step 2: Convert to fraction form
    314,784.01/434,402 = 171,544.08/x
  3. Step 3: Cross multiply
    314,784.01x = 434,402 × 171,544.08
  4. Step 4: Simplify right side
    314,784.01x = 74,519,091,440.16
  5. Step 5: Solve for x
    x = 74,519,091,440.16/314,784.01
  6. Step 6: Final answer
    x = 236,730.87

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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.