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Finding the Fourth Proportional to 314,098.34, 433,455.89 and 178,088.81

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Solution

The fourth proportional to 314,098.34, 433,455.89 and 178,088.81 is: 245,762.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,098.34 : 433,455.89 = 178,088.81 : x
  2. Step 2: Convert to fraction form
    314,098.34/433,455.89 = 178,088.81/x
  3. Step 3: Cross multiply
    314,098.34x = 433,455.89 × 178,088.81
  4. Step 4: Simplify right side
    314,098.34x = 77,193,640,579.87
  5. Step 5: Solve for x
    x = 77,193,640,579.87/314,098.34
  6. Step 6: Final answer
    x = 245,762.65

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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.