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Finding the Fourth Proportional to 553,693.40, 828,571.80 and 384,419.60

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Solution

The fourth proportional to 553,693.40, 828,571.80 and 384,419.60 is: 575,262.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,693.40 : 828,571.80 = 384,419.60 : x
  2. Step 2: Convert to fraction form
    553,693.40/828,571.80 = 384,419.60/x
  3. Step 3: Cross multiply
    553,693.40x = 828,571.80 × 384,419.60
  4. Step 4: Simplify right side
    553,693.40x = 318,519,239,927.28
  5. Step 5: Solve for x
    x = 318,519,239,927.28/553,693.40
  6. Step 6: Final answer
    x = 575,262.84

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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.