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Finding the Fourth Proportional to 431,848.12, 595,641.90 and 374,384.72

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Solution

The fourth proportional to 431,848.12, 595,641.90 and 374,384.72 is: 516,383.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,848.12 : 595,641.90 = 374,384.72 : x
  2. Step 2: Convert to fraction form
    431,848.12/595,641.90 = 374,384.72/x
  3. Step 3: Cross multiply
    431,848.12x = 595,641.90 × 374,384.72
  4. Step 4: Simplify right side
    431,848.12x = 222,999,225,951.77
  5. Step 5: Solve for x
    x = 222,999,225,951.77/431,848.12
  6. Step 6: Final answer
    x = 516,383.46

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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.