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Finding the Fourth Proportional to 519,038.56, 716,403.72 and 292,815.28

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Solution

The fourth proportional to 519,038.56, 716,403.72 and 292,815.28 is: 404,158.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,038.56 : 716,403.72 = 292,815.28 : x
  2. Step 2: Convert to fraction form
    519,038.56/716,403.72 = 292,815.28/x
  3. Step 3: Cross multiply
    519,038.56x = 716,403.72 × 292,815.28
  4. Step 4: Simplify right side
    519,038.56x = 209,773,955,864.84
  5. Step 5: Solve for x
    x = 209,773,955,864.84/519,038.56
  6. Step 6: Final answer
    x = 404,158.71

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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.