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Finding the Fourth Proportional to 873,314, 1,309,970.76 and 242,227.88

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Solution

The fourth proportional to 873,314, 1,309,970.76 and 242,227.88 is: 363,341.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,314 : 1,309,970.76 = 242,227.88 : x
  2. Step 2: Convert to fraction form
    873,314/1,309,970.76 = 242,227.88/x
  3. Step 3: Cross multiply
    873,314x = 1,309,970.76 × 242,227.88
  4. Step 4: Simplify right side
    873,314x = 317,311,440,056.79
  5. Step 5: Solve for x
    x = 317,311,440,056.79/873,314
  6. Step 6: Final answer
    x = 363,341.75

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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.