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Finding the Fourth Proportional to 460,038.20, 688,745.10 and 407,550.20

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Solution

The fourth proportional to 460,038.20, 688,745.10 and 407,550.20 is: 610,162.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,038.20 : 688,745.10 = 407,550.20 : x
  2. Step 2: Convert to fraction form
    460,038.20/688,745.10 = 407,550.20/x
  3. Step 3: Cross multiply
    460,038.20x = 688,745.10 × 407,550.20
  4. Step 4: Simplify right side
    460,038.20x = 280,698,203,254.02
  5. Step 5: Solve for x
    x = 280,698,203,254.02/460,038.20
  6. Step 6: Final answer
    x = 610,162.82

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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.