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Finding the Fourth Proportional to 523,820.20, 785,803.20 and 208,203.70

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Solution

The fourth proportional to 523,820.20, 785,803.20 and 208,203.70 is: 312,334.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,820.20 : 785,803.20 = 208,203.70 : x
  2. Step 2: Convert to fraction form
    523,820.20/785,803.20 = 208,203.70/x
  3. Step 3: Cross multiply
    523,820.20x = 785,803.20 × 208,203.70
  4. Step 4: Simplify right side
    523,820.20x = 163,607,133,711.84
  5. Step 5: Solve for x
    x = 163,607,133,711.84/523,820.20
  6. Step 6: Final answer
    x = 312,334.53

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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.