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Finding the Fourth Proportional to 648,050.70, 971,946.45 and 311,090.70

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Solution

The fourth proportional to 648,050.70, 971,946.45 and 311,090.70 is: 466,573.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,050.70 : 971,946.45 = 311,090.70 : x
  2. Step 2: Convert to fraction form
    648,050.70/971,946.45 = 311,090.70/x
  3. Step 3: Cross multiply
    648,050.70x = 971,946.45 × 311,090.70
  4. Step 4: Simplify right side
    648,050.70x = 302,363,501,493.02
  5. Step 5: Solve for x
    x = 302,363,501,493.02/648,050.70
  6. Step 6: Final answer
    x = 466,573.84

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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.