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Finding the Fourth Proportional to 310,435.44, 462,936.24 and 307,597.68

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Solution

The fourth proportional to 310,435.44, 462,936.24 and 307,597.68 is: 458,704.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,435.44 : 462,936.24 = 307,597.68 : x
  2. Step 2: Convert to fraction form
    310,435.44/462,936.24 = 307,597.68/x
  3. Step 3: Cross multiply
    310,435.44x = 462,936.24 × 307,597.68
  4. Step 4: Simplify right side
    310,435.44x = 142,398,113,411.92
  5. Step 5: Solve for x
    x = 142,398,113,411.92/310,435.44
  6. Step 6: Final answer
    x = 458,704.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.