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Finding the Fourth Proportional to 412,938.60, 619,407.90 and 307,962.60

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Solution

The fourth proportional to 412,938.60, 619,407.90 and 307,962.60 is: 461,943.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,938.60 : 619,407.90 = 307,962.60 : x
  2. Step 2: Convert to fraction form
    412,938.60/619,407.90 = 307,962.60/x
  3. Step 3: Cross multiply
    412,938.60x = 619,407.90 × 307,962.60
  4. Step 4: Simplify right side
    412,938.60x = 190,754,467,344.54
  5. Step 5: Solve for x
    x = 190,754,467,344.54/412,938.60
  6. Step 6: Final answer
    x = 461,943.90

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1.5x scale

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.