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Finding the Fourth Proportional to 402,987.44, 604,459.24 and 122,482.80

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Solution

The fourth proportional to 402,987.44, 604,459.24 and 122,482.80 is: 183,717.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,987.44 : 604,459.24 = 122,482.80 : x
  2. Step 2: Convert to fraction form
    402,987.44/604,459.24 = 122,482.80/x
  3. Step 3: Cross multiply
    402,987.44x = 604,459.24 × 122,482.80
  4. Step 4: Simplify right side
    402,987.44x = 74,035,860,201.07
  5. Step 5: Solve for x
    x = 74,035,860,201.07/402,987.44
  6. Step 6: Final answer
    x = 183,717.54

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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.