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Finding the Fourth Proportional to 317,412.21, 475,487.69 and 174,904.02

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Solution

The fourth proportional to 317,412.21, 475,487.69 and 174,904.02 is: 262,008.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,412.21 : 475,487.69 = 174,904.02 : x
  2. Step 2: Convert to fraction form
    317,412.21/475,487.69 = 174,904.02/x
  3. Step 3: Cross multiply
    317,412.21x = 475,487.69 × 174,904.02
  4. Step 4: Simplify right side
    317,412.21x = 83,164,708,441.51
  5. Step 5: Solve for x
    x = 83,164,708,441.51/317,412.21
  6. Step 6: Final answer
    x = 262,008.54

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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.