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Finding the Fourth Proportional to 762,767.64, 1,052,643.24 and 423,267.48

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Solution

The fourth proportional to 762,767.64, 1,052,643.24 and 423,267.48 is: 584,122.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,767.64 : 1,052,643.24 = 423,267.48 : x
  2. Step 2: Convert to fraction form
    762,767.64/1,052,643.24 = 423,267.48/x
  3. Step 3: Cross multiply
    762,767.64x = 1,052,643.24 × 423,267.48
  4. Step 4: Simplify right side
    762,767.64x = 445,549,651,533.84
  5. Step 5: Solve for x
    x = 445,549,651,533.84/762,767.64
  6. Step 6: Final answer
    x = 584,122.38

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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.