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Finding the Fourth Proportional to 316,102.62, 473,654.55 and 256,647.81

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Solution

The fourth proportional to 316,102.62, 473,654.55 and 256,647.81 is: 384,566.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,102.62 : 473,654.55 = 256,647.81 : x
  2. Step 2: Convert to fraction form
    316,102.62/473,654.55 = 256,647.81/x
  3. Step 3: Cross multiply
    316,102.62x = 473,654.55 × 256,647.81
  4. Step 4: Simplify right side
    316,102.62x = 121,562,402,954.04
  5. Step 5: Solve for x
    x = 121,562,402,954.04/316,102.62
  6. Step 6: Final answer
    x = 384,566.26

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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.