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Finding the Fourth Proportional to 519,052.56, 716,292.72 and 292,698.06

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Solution

The fourth proportional to 519,052.56, 716,292.72 and 292,698.06 is: 403,923.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,052.56 : 716,292.72 = 292,698.06 : x
  2. Step 2: Convert to fraction form
    519,052.56/716,292.72 = 292,698.06/x
  3. Step 3: Cross multiply
    519,052.56x = 716,292.72 × 292,698.06
  4. Step 4: Simplify right side
    519,052.56x = 209,657,489,536.12
  5. Step 5: Solve for x
    x = 209,657,489,536.12/519,052.56
  6. Step 6: Final answer
    x = 403,923.43

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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.