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Finding the Fourth Proportional to 602,264, 903,448.32 and 159,032

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Solution

The fourth proportional to 602,264, 903,448.32 and 159,032 is: 238,561.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,264 : 903,448.32 = 159,032 : x
  2. Step 2: Convert to fraction form
    602,264/903,448.32 = 159,032/x
  3. Step 3: Cross multiply
    602,264x = 903,448.32 × 159,032
  4. Step 4: Simplify right side
    602,264x = 143,677,193,226.24
  5. Step 5: Solve for x
    x = 143,677,193,226.24/602,264
  6. Step 6: Final answer
    x = 238,561.82

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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.