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Finding the Fourth Proportional to 583,440.94, 874,636.17 and 209,376.46

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Solution

The fourth proportional to 583,440.94, 874,636.17 and 209,376.46 is: 313,876.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,440.94 : 874,636.17 = 209,376.46 : x
  2. Step 2: Convert to fraction form
    583,440.94/874,636.17 = 209,376.46/x
  3. Step 3: Cross multiply
    583,440.94x = 874,636.17 × 209,376.46
  4. Step 4: Simplify right side
    583,440.94x = 183,128,225,062.56
  5. Step 5: Solve for x
    x = 183,128,225,062.56/583,440.94
  6. Step 6: Final answer
    x = 313,876.20

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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.