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Finding the Fourth Proportional to 571,672.80, 788,956.92 and 317,106

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Solution

The fourth proportional to 571,672.80, 788,956.92 and 317,106 is: 437,633.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,672.80 : 788,956.92 = 317,106 : x
  2. Step 2: Convert to fraction form
    571,672.80/788,956.92 = 317,106/x
  3. Step 3: Cross multiply
    571,672.80x = 788,956.92 × 317,106
  4. Step 4: Simplify right side
    571,672.80x = 250,182,973,073.52
  5. Step 5: Solve for x
    x = 250,182,973,073.52/571,672.80
  6. Step 6: Final answer
    x = 437,633.16

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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.