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Finding the Fourth Proportional to 522,065.10, 729,316.50 and 522,065.10

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Solution

The fourth proportional to 522,065.10, 729,316.50 and 522,065.10 is: 729,316.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,065.10 : 729,316.50 = 522,065.10 : x
  2. Step 2: Convert to fraction form
    522,065.10/729,316.50 = 522,065.10/x
  3. Step 3: Cross multiply
    522,065.10x = 729,316.50 × 522,065.10
  4. Step 4: Simplify right side
    522,065.10x = 380,750,691,504.15
  5. Step 5: Solve for x
    x = 380,750,691,504.15/522,065.10
  6. Step 6: Final answer
    x = 729,316.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.