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Finding the Fourth Proportional to 405,037.80, 558,285.48 and 287,204.40

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Solution

The fourth proportional to 405,037.80, 558,285.48 and 287,204.40 is: 395,869.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,037.80 : 558,285.48 = 287,204.40 : x
  2. Step 2: Convert to fraction form
    405,037.80/558,285.48 = 287,204.40/x
  3. Step 3: Cross multiply
    405,037.80x = 558,285.48 × 287,204.40
  4. Step 4: Simplify right side
    405,037.80x = 160,342,046,312.11
  5. Step 5: Solve for x
    x = 160,342,046,312.11/405,037.80
  6. Step 6: Final answer
    x = 395,869.34

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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.