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Finding the Fourth Proportional to 583,411.65, 874,767.42 and 228,002.28

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Solution

The fourth proportional to 583,411.65, 874,767.42 and 228,002.28 is: 341,866.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,411.65 : 874,767.42 = 228,002.28 : x
  2. Step 2: Convert to fraction form
    583,411.65/874,767.42 = 228,002.28/x
  3. Step 3: Cross multiply
    583,411.65x = 874,767.42 × 228,002.28
  4. Step 4: Simplify right side
    583,411.65x = 199,448,966,229.72
  5. Step 5: Solve for x
    x = 199,448,966,229.72/583,411.65
  6. Step 6: Final answer
    x = 341,866.62

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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.