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Finding the Fourth Proportional to 314,445.89, 433,945.89 and 176,649

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Solution

The fourth proportional to 314,445.89, 433,945.89 and 176,649 is: 243,781.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,445.89 : 433,945.89 = 176,649 : x
  2. Step 2: Convert to fraction form
    314,445.89/433,945.89 = 176,649/x
  3. Step 3: Cross multiply
    314,445.89x = 433,945.89 × 176,649
  4. Step 4: Simplify right side
    314,445.89x = 76,656,107,522.61
  5. Step 5: Solve for x
    x = 76,656,107,522.61/314,445.89
  6. Step 6: Final answer
    x = 243,781.55

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