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Finding the Fourth Proportional to 692,197.60, 1,036,222.80 and 411,570.40

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Solution

The fourth proportional to 692,197.60, 1,036,222.80 and 411,570.40 is: 616,122.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,197.60 : 1,036,222.80 = 411,570.40 : x
  2. Step 2: Convert to fraction form
    692,197.60/1,036,222.80 = 411,570.40/x
  3. Step 3: Cross multiply
    692,197.60x = 1,036,222.80 × 411,570.40
  4. Step 4: Simplify right side
    692,197.60x = 426,478,632,285.12
  5. Step 5: Solve for x
    x = 426,478,632,285.12/692,197.60
  6. Step 6: Final answer
    x = 616,122.67

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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.