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Finding the Fourth Proportional to 583,323.50, 875,072.74 and 209,433.98

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Solution

The fourth proportional to 583,323.50, 875,072.74 and 209,433.98 is: 314,182.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,323.50 : 875,072.74 = 209,433.98 : x
  2. Step 2: Convert to fraction form
    583,323.50/875,072.74 = 209,433.98/x
  3. Step 3: Cross multiply
    583,323.50x = 875,072.74 × 209,433.98
  4. Step 4: Simplify right side
    583,323.50x = 183,269,966,727.71
  5. Step 5: Solve for x
    x = 183,269,966,727.71/583,323.50
  6. Step 6: Final answer
    x = 314,182.38

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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.