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Finding the Fourth Proportional to 589,493.04, 884,458.52 and 409,483.63

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Solution

The fourth proportional to 589,493.04, 884,458.52 and 409,483.63 is: 614,377.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,493.04 : 884,458.52 = 409,483.63 : x
  2. Step 2: Convert to fraction form
    589,493.04/884,458.52 = 409,483.63/x
  3. Step 3: Cross multiply
    589,493.04x = 884,458.52 × 409,483.63
  4. Step 4: Simplify right side
    589,493.04x = 362,171,284,412.18
  5. Step 5: Solve for x
    x = 362,171,284,412.18/589,493.04
  6. Step 6: Final answer
    x = 614,377.55

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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.