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Finding the Fourth Proportional to 314,276.34, 433,711.14 and 178,316.01

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Solution

The fourth proportional to 314,276.34, 433,711.14 and 178,316.01 is: 246,081.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,276.34 : 433,711.14 = 178,316.01 : x
  2. Step 2: Convert to fraction form
    314,276.34/433,711.14 = 178,316.01/x
  3. Step 3: Cross multiply
    314,276.34x = 433,711.14 × 178,316.01
  4. Step 4: Simplify right side
    314,276.34x = 77,337,639,977.35
  5. Step 5: Solve for x
    x = 77,337,639,977.35/314,276.34
  6. Step 6: Final answer
    x = 246,081.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.