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Finding the Fourth Proportional to 402,986.84, 604,458.38 and 122,482.22

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Solution

The fourth proportional to 402,986.84, 604,458.38 and 122,482.22 is: 183,716.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,986.84 : 604,458.38 = 122,482.22 : x
  2. Step 2: Convert to fraction form
    402,986.84/604,458.38 = 122,482.22/x
  3. Step 3: Cross multiply
    402,986.84x = 604,458.38 × 122,482.22
  4. Step 4: Simplify right side
    402,986.84x = 74,035,406,097.36
  5. Step 5: Solve for x
    x = 74,035,406,097.36/402,986.84
  6. Step 6: Final answer
    x = 183,716.68

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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.