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Finding the Fourth Proportional to 519,047.56, 716,285.70 and 292,693.12

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Solution

The fourth proportional to 519,047.56, 716,285.70 and 292,693.12 is: 403,916.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,047.56 : 716,285.70 = 292,693.12 : x
  2. Step 2: Convert to fraction form
    519,047.56/716,285.70 = 292,693.12/x
  3. Step 3: Cross multiply
    519,047.56x = 716,285.70 × 292,693.12
  4. Step 4: Simplify right side
    519,047.56x = 209,651,896,344.38
  5. Step 5: Solve for x
    x = 209,651,896,344.38/519,047.56
  6. Step 6: Final answer
    x = 403,916.54

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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.