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Finding the Fourth Proportional to 475,853.44, 712,112.15 and 341,066.07

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Solution

The fourth proportional to 475,853.44, 712,112.15 and 341,066.07 is: 510,403.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,853.44 : 712,112.15 = 341,066.07 : x
  2. Step 2: Convert to fraction form
    475,853.44/712,112.15 = 341,066.07/x
  3. Step 3: Cross multiply
    475,853.44x = 712,112.15 × 341,066.07
  4. Step 4: Simplify right side
    475,853.44x = 242,877,288,851.48
  5. Step 5: Solve for x
    x = 242,877,288,851.48/475,853.44
  6. Step 6: Final answer
    x = 510,403.56

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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.