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Finding the Fourth Proportional to 403,206.40, 604,809.60 and 234,553.60

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Solution

The fourth proportional to 403,206.40, 604,809.60 and 234,553.60 is: 351,830.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,206.40 : 604,809.60 = 234,553.60 : x
  2. Step 2: Convert to fraction form
    403,206.40/604,809.60 = 234,553.60/x
  3. Step 3: Cross multiply
    403,206.40x = 604,809.60 × 234,553.60
  4. Step 4: Simplify right side
    403,206.40x = 141,860,268,994.56
  5. Step 5: Solve for x
    x = 141,860,268,994.56/403,206.40
  6. Step 6: Final answer
    x = 351,830.40

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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.