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Finding the Fourth Proportional to 530,847.60, 796,271.40 and 509,852.40

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Solution

The fourth proportional to 530,847.60, 796,271.40 and 509,852.40 is: 764,778.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,847.60 : 796,271.40 = 509,852.40 : x
  2. Step 2: Convert to fraction form
    530,847.60/796,271.40 = 509,852.40/x
  3. Step 3: Cross multiply
    530,847.60x = 796,271.40 × 509,852.40
  4. Step 4: Simplify right side
    530,847.60x = 405,980,884,341.36
  5. Step 5: Solve for x
    x = 405,980,884,341.36/530,847.60
  6. Step 6: Final answer
    x = 764,778.60

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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.