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Finding the Fourth Proportional to 472,457.80, 708,686.70 and 413,408.80

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Solution

The fourth proportional to 472,457.80, 708,686.70 and 413,408.80 is: 620,113.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,457.80 : 708,686.70 = 413,408.80 : x
  2. Step 2: Convert to fraction form
    472,457.80/708,686.70 = 413,408.80/x
  3. Step 3: Cross multiply
    472,457.80x = 708,686.70 × 413,408.80
  4. Step 4: Simplify right side
    472,457.80x = 292,977,318,222.96
  5. Step 5: Solve for x
    x = 292,977,318,222.96/472,457.80
  6. Step 6: Final answer
    x = 620,113.20

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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.