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Finding the Fourth Proportional to 601,025.30, 829,407.22 and 346,400.18

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Solution

The fourth proportional to 601,025.30, 829,407.22 and 346,400.18 is: 478,027.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,025.30 : 829,407.22 = 346,400.18 : x
  2. Step 2: Convert to fraction form
    601,025.30/829,407.22 = 346,400.18/x
  3. Step 3: Cross multiply
    601,025.30x = 829,407.22 × 346,400.18
  4. Step 4: Simplify right side
    601,025.30x = 287,306,805,288.26
  5. Step 5: Solve for x
    x = 287,306,805,288.26/601,025.30
  6. Step 6: Final answer
    x = 478,027.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.