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Finding the Fourth Proportional to 539,662.40, 808,802.40 and 414,382.40

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Solution

The fourth proportional to 539,662.40, 808,802.40 and 414,382.40 is: 621,042.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,662.40 : 808,802.40 = 414,382.40 : x
  2. Step 2: Convert to fraction form
    539,662.40/808,802.40 = 414,382.40/x
  3. Step 3: Cross multiply
    539,662.40x = 808,802.40 × 414,382.40
  4. Step 4: Simplify right side
    539,662.40x = 335,153,479,637.76
  5. Step 5: Solve for x
    x = 335,153,479,637.76/539,662.40
  6. Step 6: Final answer
    x = 621,042.86

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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.