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Finding the Fourth Proportional to 519,120.63, 716,386.41 and 292,766.13

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Solution

The fourth proportional to 519,120.63, 716,386.41 and 292,766.13 is: 404,017.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,120.63 : 716,386.41 = 292,766.13 : x
  2. Step 2: Convert to fraction form
    519,120.63/716,386.41 = 292,766.13/x
  3. Step 3: Cross multiply
    519,120.63x = 716,386.41 × 292,766.13
  4. Step 4: Simplify right side
    519,120.63x = 209,733,676,840.29
  5. Step 5: Solve for x
    x = 209,733,676,840.29/519,120.63
  6. Step 6: Final answer
    x = 404,017.23

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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.