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Finding the Fourth Proportional to 909,849, 1,255,591.62 and 507,441

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Solution

The fourth proportional to 909,849, 1,255,591.62 and 507,441 is: 700,268.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,849 : 1,255,591.62 = 507,441 : x
  2. Step 2: Convert to fraction form
    909,849/1,255,591.62 = 507,441/x
  3. Step 3: Cross multiply
    909,849x = 1,255,591.62 × 507,441
  4. Step 4: Simplify right side
    909,849x = 637,138,667,244.42
  5. Step 5: Solve for x
    x = 637,138,667,244.42/909,849
  6. Step 6: Final answer
    x = 700,268.58

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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.