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Finding the Fourth Proportional to 317,421.28, 476,159.88 and 117,743.80

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Solution

The fourth proportional to 317,421.28, 476,159.88 and 117,743.80 is: 176,626.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,421.28 : 476,159.88 = 117,743.80 : x
  2. Step 2: Convert to fraction form
    317,421.28/476,159.88 = 117,743.80/x
  3. Step 3: Cross multiply
    317,421.28x = 476,159.88 × 117,743.80
  4. Step 4: Simplify right side
    317,421.28x = 56,064,873,678.74
  5. Step 5: Solve for x
    x = 56,064,873,678.74/317,421.28
  6. Step 6: Final answer
    x = 176,626.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.