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Finding the Fourth Proportional to 504,205.30, 706,412.30 and 504,205.30

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Solution

The fourth proportional to 504,205.30, 706,412.30 and 504,205.30 is: 706,412.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,205.30 : 706,412.30 = 504,205.30 : x
  2. Step 2: Convert to fraction form
    504,205.30/706,412.30 = 504,205.30/x
  3. Step 3: Cross multiply
    504,205.30x = 706,412.30 × 504,205.30
  4. Step 4: Simplify right side
    504,205.30x = 356,176,825,645.19
  5. Step 5: Solve for x
    x = 356,176,825,645.19/504,205.30
  6. Step 6: Final answer
    x = 706,412.30

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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.