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Finding the Fourth Proportional to 419,053.15, 578,354.30 and 235,312.35

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Solution

The fourth proportional to 419,053.15, 578,354.30 and 235,312.35 is: 324,765.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,053.15 : 578,354.30 = 235,312.35 : x
  2. Step 2: Convert to fraction form
    419,053.15/578,354.30 = 235,312.35/x
  3. Step 3: Cross multiply
    419,053.15x = 578,354.30 × 235,312.35
  4. Step 4: Simplify right side
    419,053.15x = 136,093,909,465.61
  5. Step 5: Solve for x
    x = 136,093,909,465.61/419,053.15
  6. Step 6: Final answer
    x = 324,765.27

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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.