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Finding the Fourth Proportional to 456,365.72, 684,402.98 and 156,774.06

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Solution

The fourth proportional to 456,365.72, 684,402.98 and 156,774.06 is: 235,111.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,365.72 : 684,402.98 = 156,774.06 : x
  2. Step 2: Convert to fraction form
    456,365.72/684,402.98 = 156,774.06/x
  3. Step 3: Cross multiply
    456,365.72x = 684,402.98 × 156,774.06
  4. Step 4: Simplify right side
    456,365.72x = 107,296,633,850.70
  5. Step 5: Solve for x
    x = 107,296,633,850.70/456,365.72
  6. Step 6: Final answer
    x = 235,111.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.