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Finding the Fourth Proportional to 316,118.14, 473,955.44 and 116,412.93

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Solution

The fourth proportional to 316,118.14, 473,955.44 and 116,412.93 is: 174,537.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,118.14 : 473,955.44 = 116,412.93 : x
  2. Step 2: Convert to fraction form
    316,118.14/473,955.44 = 116,412.93/x
  3. Step 3: Cross multiply
    316,118.14x = 473,955.44 × 116,412.93
  4. Step 4: Simplify right side
    316,118.14x = 55,174,540,877.77
  5. Step 5: Solve for x
    x = 55,174,540,877.77/316,118.14
  6. Step 6: Final answer
    x = 174,537.73

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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.