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Finding the Fourth Proportional to 533,678.56, 736,470.36 and 291,958.36

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Solution

The fourth proportional to 533,678.56, 736,470.36 and 291,958.36 is: 402,899.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,678.56 : 736,470.36 = 291,958.36 : x
  2. Step 2: Convert to fraction form
    533,678.56/736,470.36 = 291,958.36/x
  3. Step 3: Cross multiply
    533,678.56x = 736,470.36 × 291,958.36
  4. Step 4: Simplify right side
    533,678.56x = 215,018,678,494.21
  5. Step 5: Solve for x
    x = 215,018,678,494.21/533,678.56
  6. Step 6: Final answer
    x = 402,899.23

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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.