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Finding the Fourth Proportional to 600,962.91, 829,295.96 and 328,978.19

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Solution

The fourth proportional to 600,962.91, 829,295.96 and 328,978.19 is: 453,971.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,962.91 : 829,295.96 = 328,978.19 : x
  2. Step 2: Convert to fraction form
    600,962.91/829,295.96 = 328,978.19/x
  3. Step 3: Cross multiply
    600,962.91x = 829,295.96 × 328,978.19
  4. Step 4: Simplify right side
    600,962.91x = 272,820,284,323.46
  5. Step 5: Solve for x
    x = 272,820,284,323.46/600,962.91
  6. Step 6: Final answer
    x = 453,971.92

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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.