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Finding the Fourth Proportional to 438,000.30, 657,000.45 and 142,512.30

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Solution

The fourth proportional to 438,000.30, 657,000.45 and 142,512.30 is: 213,768.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,000.30 : 657,000.45 = 142,512.30 : x
  2. Step 2: Convert to fraction form
    438,000.30/657,000.45 = 142,512.30/x
  3. Step 3: Cross multiply
    438,000.30x = 657,000.45 × 142,512.30
  4. Step 4: Simplify right side
    438,000.30x = 93,630,645,230.54
  5. Step 5: Solve for x
    x = 93,630,645,230.54/438,000.30
  6. Step 6: Final answer
    x = 213,768.45

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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.