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Finding the Fourth Proportional to 867,415.86, 1,301,123.16 and 362,214.72

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Solution

The fourth proportional to 867,415.86, 1,301,123.16 and 362,214.72 is: 543,321.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    867,415.86 : 1,301,123.16 = 362,214.72 : x
  2. Step 2: Convert to fraction form
    867,415.86/1,301,123.16 = 362,214.72/x
  3. Step 3: Cross multiply
    867,415.86x = 1,301,123.16 × 362,214.72
  4. Step 4: Simplify right side
    867,415.86x = 471,285,961,084.92
  5. Step 5: Solve for x
    x = 471,285,961,084.92/867,415.86
  6. Step 6: Final answer
    x = 543,321.82

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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.