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Finding the Fourth Proportional to 687,840.40, 1,030,205.40 and 407,904.40

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Solution

The fourth proportional to 687,840.40, 1,030,205.40 and 407,904.40 is: 610,934.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,840.40 : 1,030,205.40 = 407,904.40 : x
  2. Step 2: Convert to fraction form
    687,840.40/1,030,205.40 = 407,904.40/x
  3. Step 3: Cross multiply
    687,840.40x = 1,030,205.40 × 407,904.40
  4. Step 4: Simplify right side
    687,840.40x = 420,225,315,563.76
  5. Step 5: Solve for x
    x = 420,225,315,563.76/687,840.40
  6. Step 6: Final answer
    x = 610,934.33

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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.