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Finding the Fourth Proportional to 405,337.60, 608,006.40 and 340,019.20

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Solution

The fourth proportional to 405,337.60, 608,006.40 and 340,019.20 is: 510,028.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,337.60 : 608,006.40 = 340,019.20 : x
  2. Step 2: Convert to fraction form
    405,337.60/608,006.40 = 340,019.20/x
  3. Step 3: Cross multiply
    405,337.60x = 608,006.40 × 340,019.20
  4. Step 4: Simplify right side
    405,337.60x = 206,733,849,722.88
  5. Step 5: Solve for x
    x = 206,733,849,722.88/405,337.60
  6. Step 6: Final answer
    x = 510,028.80

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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.