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Finding the Fourth Proportional to 493,655.40, 692,983.80 and 493,655.40

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Solution

The fourth proportional to 493,655.40, 692,983.80 and 493,655.40 is: 692,983.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,655.40 : 692,983.80 = 493,655.40 : x
  2. Step 2: Convert to fraction form
    493,655.40/692,983.80 = 493,655.40/x
  3. Step 3: Cross multiply
    493,655.40x = 692,983.80 × 493,655.40
  4. Step 4: Simplify right side
    493,655.40x = 342,095,194,982.52
  5. Step 5: Solve for x
    x = 342,095,194,982.52/493,655.40
  6. Step 6: Final answer
    x = 692,983.80

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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.