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Finding the Fourth Proportional to 505,038.07, 696,387.41 and 412,869.69

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Solution

The fourth proportional to 505,038.07, 696,387.41 and 412,869.69 is: 569,298.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,038.07 : 696,387.41 = 412,869.69 : x
  2. Step 2: Convert to fraction form
    505,038.07/696,387.41 = 412,869.69/x
  3. Step 3: Cross multiply
    505,038.07x = 696,387.41 × 412,869.69
  4. Step 4: Simplify right side
    505,038.07x = 287,517,254,086.60
  5. Step 5: Solve for x
    x = 287,517,254,086.60/505,038.07
  6. Step 6: Final answer
    x = 569,298.18

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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.