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Finding the Fourth Proportional to 403,208.40, 604,812.60 and 282,939.60

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Solution

The fourth proportional to 403,208.40, 604,812.60 and 282,939.60 is: 424,409.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,208.40 : 604,812.60 = 282,939.60 : x
  2. Step 2: Convert to fraction form
    403,208.40/604,812.60 = 282,939.60/x
  3. Step 3: Cross multiply
    403,208.40x = 604,812.60 × 282,939.60
  4. Step 4: Simplify right side
    403,208.40x = 171,125,435,118.96
  5. Step 5: Solve for x
    x = 171,125,435,118.96/403,208.40
  6. Step 6: Final answer
    x = 424,409.40

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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.