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Finding the Fourth Proportional to 316,015.48, 474,070.42 and 116,320.68

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Solution

The fourth proportional to 316,015.48, 474,070.42 and 116,320.68 is: 174,498.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,015.48 : 474,070.42 = 116,320.68 : x
  2. Step 2: Convert to fraction form
    316,015.48/474,070.42 = 116,320.68/x
  3. Step 3: Cross multiply
    316,015.48x = 474,070.42 × 116,320.68
  4. Step 4: Simplify right side
    316,015.48x = 55,144,193,767.69
  5. Step 5: Solve for x
    x = 55,144,193,767.69/316,015.48
  6. Step 6: Final answer
    x = 174,498.39

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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.