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Finding the Fourth Proportional to 536,647.52, 740,300.64 and 409,101.68

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Solution

The fourth proportional to 536,647.52, 740,300.64 and 409,101.68 is: 564,352.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,647.52 : 740,300.64 = 409,101.68 : x
  2. Step 2: Convert to fraction form
    536,647.52/740,300.64 = 409,101.68/x
  3. Step 3: Cross multiply
    536,647.52x = 740,300.64 × 409,101.68
  4. Step 4: Simplify right side
    536,647.52x = 302,858,235,529.08
  5. Step 5: Solve for x
    x = 302,858,235,529.08/536,647.52
  6. Step 6: Final answer
    x = 564,352.25

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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.