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Finding the Fourth Proportional to 517,636.40, 714,727.44 and 509,369.60

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Solution

The fourth proportional to 517,636.40, 714,727.44 and 509,369.60 is: 703,313.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,636.40 : 714,727.44 = 509,369.60 : x
  2. Step 2: Convert to fraction form
    517,636.40/714,727.44 = 509,369.60/x
  3. Step 3: Cross multiply
    517,636.40x = 714,727.44 × 509,369.60
  4. Step 4: Simplify right side
    517,636.40x = 364,060,430,221.82
  5. Step 5: Solve for x
    x = 364,060,430,221.82/517,636.40
  6. Step 6: Final answer
    x = 703,313.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.