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Finding the Fourth Proportional to 502,283.94, 753,464.53 and 142,448.63

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Solution

The fourth proportional to 502,283.94, 753,464.53 and 142,448.63 is: 213,683.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,283.94 : 753,464.53 = 142,448.63 : x
  2. Step 2: Convert to fraction form
    502,283.94/753,464.53 = 142,448.63/x
  3. Step 3: Cross multiply
    502,283.94x = 753,464.53 × 142,448.63
  4. Step 4: Simplify right side
    502,283.94x = 107,329,986,462.83
  5. Step 5: Solve for x
    x = 107,329,986,462.83/502,283.94
  6. Step 6: Final answer
    x = 213,683.89

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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.