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Finding the Fourth Proportional to 600,866.64, 829,188.36 and 362,402.64

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Solution

The fourth proportional to 600,866.64, 829,188.36 and 362,402.64 is: 500,111.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,866.64 : 829,188.36 = 362,402.64 : x
  2. Step 2: Convert to fraction form
    600,866.64/829,188.36 = 362,402.64/x
  3. Step 3: Cross multiply
    600,866.64x = 829,188.36 × 362,402.64
  4. Step 4: Simplify right side
    600,866.64x = 300,500,050,721.27
  5. Step 5: Solve for x
    x = 300,500,050,721.27/600,866.64
  6. Step 6: Final answer
    x = 500,111.06

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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.