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Finding the Fourth Proportional to 519,409.26, 716,785.50 and 293,075.82

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Solution

The fourth proportional to 519,409.26, 716,785.50 and 293,075.82 is: 404,445.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,409.26 : 716,785.50 = 293,075.82 : x
  2. Step 2: Convert to fraction form
    519,409.26/716,785.50 = 293,075.82/x
  3. Step 3: Cross multiply
    519,409.26x = 716,785.50 × 293,075.82
  4. Step 4: Simplify right side
    519,409.26x = 210,072,498,176.61
  5. Step 5: Solve for x
    x = 210,072,498,176.61/519,409.26
  6. Step 6: Final answer
    x = 404,445.04

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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.