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Finding the Fourth Proportional to 683,907.84, 942,929.28 and 441,780.48

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Solution

The fourth proportional to 683,907.84, 942,929.28 and 441,780.48 is: 609,099.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,907.84 : 942,929.28 = 441,780.48 : x
  2. Step 2: Convert to fraction form
    683,907.84/942,929.28 = 441,780.48/x
  3. Step 3: Cross multiply
    683,907.84x = 942,929.28 × 441,780.48
  4. Step 4: Simplify right side
    683,907.84x = 416,567,749,924.45
  5. Step 5: Solve for x
    x = 416,567,749,924.45/683,907.84
  6. Step 6: Final answer
    x = 609,099.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.