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Finding the Fourth Proportional to 524,411.60, 786,811.80 and 209,094.80

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Solution

The fourth proportional to 524,411.60, 786,811.80 and 209,094.80 is: 313,719.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,411.60 : 786,811.80 = 209,094.80 : x
  2. Step 2: Convert to fraction form
    524,411.60/786,811.80 = 209,094.80/x
  3. Step 3: Cross multiply
    524,411.60x = 786,811.80 × 209,094.80
  4. Step 4: Simplify right side
    524,411.60x = 164,518,255,958.64
  5. Step 5: Solve for x
    x = 164,518,255,958.64/524,411.60
  6. Step 6: Final answer
    x = 313,719.71

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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.