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Finding the Fourth Proportional to 456,730.30, 684,111.30 and 377,998.30

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Solution

The fourth proportional to 456,730.30, 684,111.30 and 377,998.30 is: 566,182.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,730.30 : 684,111.30 = 377,998.30 : x
  2. Step 2: Convert to fraction form
    456,730.30/684,111.30 = 377,998.30/x
  3. Step 3: Cross multiply
    456,730.30x = 684,111.30 × 377,998.30
  4. Step 4: Simplify right side
    456,730.30x = 258,592,908,410.79
  5. Step 5: Solve for x
    x = 258,592,908,410.79/456,730.30
  6. Step 6: Final answer
    x = 566,182.95

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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.