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Finding the Fourth Proportional to 634,978.25, 952,430.30 and 464,372.78

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Solution

The fourth proportional to 634,978.25, 952,430.30 and 464,372.78 is: 696,532.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,978.25 : 952,430.30 = 464,372.78 : x
  2. Step 2: Convert to fraction form
    634,978.25/952,430.30 = 464,372.78/x
  3. Step 3: Cross multiply
    634,978.25x = 952,430.30 × 464,372.78
  4. Step 4: Simplify right side
    634,978.25x = 442,282,699,083.22
  5. Step 5: Solve for x
    x = 442,282,699,083.22/634,978.25
  6. Step 6: Final answer
    x = 696,532.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.