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Finding the Fourth Proportional to 264,210.30, 396,315.45 and 152,235.90

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Solution

The fourth proportional to 264,210.30, 396,315.45 and 152,235.90 is: 228,353.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,210.30 : 396,315.45 = 152,235.90 : x
  2. Step 2: Convert to fraction form
    264,210.30/396,315.45 = 152,235.90/x
  3. Step 3: Cross multiply
    264,210.30x = 396,315.45 × 152,235.90
  4. Step 4: Simplify right side
    264,210.30x = 60,333,439,214.66
  5. Step 5: Solve for x
    x = 60,333,439,214.66/264,210.30
  6. Step 6: Final answer
    x = 228,353.85

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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.