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Finding the Fourth Proportional to 460,070.56, 634,926.42 and 278,798.38

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Solution

The fourth proportional to 460,070.56, 634,926.42 and 278,798.38 is: 384,759.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,070.56 : 634,926.42 = 278,798.38 : x
  2. Step 2: Convert to fraction form
    460,070.56/634,926.42 = 278,798.38/x
  3. Step 3: Cross multiply
    460,070.56x = 634,926.42 × 278,798.38
  4. Step 4: Simplify right side
    460,070.56x = 177,016,457,315.20
  5. Step 5: Solve for x
    x = 177,016,457,315.20/460,070.56
  6. Step 6: Final answer
    x = 384,759.37

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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.