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Finding the Fourth Proportional to 519,463.74, 716,805.35 and 301,629.84

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Solution

The fourth proportional to 519,463.74, 716,805.35 and 301,629.84 is: 416,217.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,463.74 : 716,805.35 = 301,629.84 : x
  2. Step 2: Convert to fraction form
    519,463.74/716,805.35 = 301,629.84/x
  3. Step 3: Cross multiply
    519,463.74x = 716,805.35 × 301,629.84
  4. Step 4: Simplify right side
    519,463.74x = 216,209,881,523.50
  5. Step 5: Solve for x
    x = 216,209,881,523.50/519,463.74
  6. Step 6: Final answer
    x = 416,217.47

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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.