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Finding the Fourth Proportional to 435,821.56, 601,419.80 and 242,228.32

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Solution

The fourth proportional to 435,821.56, 601,419.80 and 242,228.32 is: 334,267.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,821.56 : 601,419.80 = 242,228.32 : x
  2. Step 2: Convert to fraction form
    435,821.56/601,419.80 = 242,228.32/x
  3. Step 3: Cross multiply
    435,821.56x = 601,419.80 × 242,228.32
  4. Step 4: Simplify right side
    435,821.56x = 145,680,907,768.74
  5. Step 5: Solve for x
    x = 145,680,907,768.74/435,821.56
  6. Step 6: Final answer
    x = 334,267.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.