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Finding the Fourth Proportional to 456,426.48, 684,655.34 and 156,904.50

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Solution

The fourth proportional to 456,426.48, 684,655.34 and 156,904.50 is: 235,362.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,426.48 : 684,655.34 = 156,904.50 : x
  2. Step 2: Convert to fraction form
    456,426.48/684,655.34 = 156,904.50/x
  3. Step 3: Cross multiply
    456,426.48x = 684,655.34 × 156,904.50
  4. Step 4: Simplify right side
    456,426.48x = 107,425,503,010.51
  5. Step 5: Solve for x
    x = 107,425,503,010.51/456,426.48
  6. Step 6: Final answer
    x = 235,362.12

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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.