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Finding the Fourth Proportional to 504,656.80, 756,985.20 and 414,455.20

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Solution

The fourth proportional to 504,656.80, 756,985.20 and 414,455.20 is: 621,682.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,656.80 : 756,985.20 = 414,455.20 : x
  2. Step 2: Convert to fraction form
    504,656.80/756,985.20 = 414,455.20/x
  3. Step 3: Cross multiply
    504,656.80x = 756,985.20 × 414,455.20
  4. Step 4: Simplify right side
    504,656.80x = 313,736,452,463.04
  5. Step 5: Solve for x
    x = 313,736,452,463.04/504,656.80
  6. Step 6: Final answer
    x = 621,682.80

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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.