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Finding the Fourth Proportional to 456,462.30, 684,693.45 and 124,038.30

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Solution

The fourth proportional to 456,462.30, 684,693.45 and 124,038.30 is: 186,057.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,462.30 : 684,693.45 = 124,038.30 : x
  2. Step 2: Convert to fraction form
    456,462.30/684,693.45 = 124,038.30/x
  3. Step 3: Cross multiply
    456,462.30x = 684,693.45 × 124,038.30
  4. Step 4: Simplify right side
    456,462.30x = 84,928,211,559.14
  5. Step 5: Solve for x
    x = 84,928,211,559.14/456,462.30
  6. Step 6: Final answer
    x = 186,057.45

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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.