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Finding the Fourth Proportional to 553,585.60, 830,378.40 and 419,741.20

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Solution

The fourth proportional to 553,585.60, 830,378.40 and 419,741.20 is: 629,611.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,585.60 : 830,378.40 = 419,741.20 : x
  2. Step 2: Convert to fraction form
    553,585.60/830,378.40 = 419,741.20/x
  3. Step 3: Cross multiply
    553,585.60x = 830,378.40 × 419,741.20
  4. Step 4: Simplify right side
    553,585.60x = 348,544,026,070.08
  5. Step 5: Solve for x
    x = 348,544,026,070.08/553,585.60
  6. Step 6: Final answer
    x = 629,611.80

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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.