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Finding the Fourth Proportional to 456,427.48, 684,656.84 and 156,905.50

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Solution

The fourth proportional to 456,427.48, 684,656.84 and 156,905.50 is: 235,363.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,427.48 : 684,656.84 = 156,905.50 : x
  2. Step 2: Convert to fraction form
    456,427.48/684,656.84 = 156,905.50/x
  3. Step 3: Cross multiply
    456,427.48x = 684,656.84 × 156,905.50
  4. Step 4: Simplify right side
    456,427.48x = 107,426,423,808.62
  5. Step 5: Solve for x
    x = 107,426,423,808.62/456,427.48
  6. Step 6: Final answer
    x = 235,363.62

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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.