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Finding the Fourth Proportional to 456,409.14, 684,775.92 and 203,666.64

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Solution

The fourth proportional to 456,409.14, 684,775.92 and 203,666.64 is: 305,572.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,409.14 : 684,775.92 = 203,666.64 : x
  2. Step 2: Convert to fraction form
    456,409.14/684,775.92 = 203,666.64/x
  3. Step 3: Cross multiply
    456,409.14x = 684,775.92 × 203,666.64
  4. Step 4: Simplify right side
    456,409.14x = 139,466,010,779.31
  5. Step 5: Solve for x
    x = 139,466,010,779.31/456,409.14
  6. Step 6: Final answer
    x = 305,572.34

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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.