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Finding the Fourth Proportional to 316,107.16, 473,485.10 and 255,875.56

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Solution

The fourth proportional to 316,107.16, 473,485.10 and 255,875.56 is: 383,266.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,107.16 : 473,485.10 = 255,875.56 : x
  2. Step 2: Convert to fraction form
    316,107.16/473,485.10 = 255,875.56/x
  3. Step 3: Cross multiply
    316,107.16x = 473,485.10 × 255,875.56
  4. Step 4: Simplify right side
    316,107.16x = 121,153,265,114.16
  5. Step 5: Solve for x
    x = 121,153,265,114.16/316,107.16
  6. Step 6: Final answer
    x = 383,266.44

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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.