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Finding the Fourth Proportional to 286,357.27, 429,533.17 and 174,068.50

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Solution

The fourth proportional to 286,357.27, 429,533.17 and 174,068.50 is: 261,101.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,357.27 : 429,533.17 = 174,068.50 : x
  2. Step 2: Convert to fraction form
    286,357.27/429,533.17 = 174,068.50/x
  3. Step 3: Cross multiply
    286,357.27x = 429,533.17 × 174,068.50
  4. Step 4: Simplify right side
    286,357.27x = 74,768,194,602.15
  5. Step 5: Solve for x
    x = 74,768,194,602.15/286,357.27
  6. Step 6: Final answer
    x = 261,101.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.