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Finding the Fourth Proportional to 305,430.84, 458,036.46 and 105,696.99

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Solution

The fourth proportional to 305,430.84, 458,036.46 and 105,696.99 is: 158,507.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,430.84 : 458,036.46 = 105,696.99 : x
  2. Step 2: Convert to fraction form
    305,430.84/458,036.46 = 105,696.99/x
  3. Step 3: Cross multiply
    305,430.84x = 458,036.46 × 105,696.99
  4. Step 4: Simplify right side
    305,430.84x = 48,413,075,132.26
  5. Step 5: Solve for x
    x = 48,413,075,132.26/305,430.84
  6. Step 6: Final answer
    x = 158,507.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.