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Finding the Fourth Proportional to 384,925.50, 577,628.82 and 185,266.98

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Solution

The fourth proportional to 384,925.50, 577,628.82 and 185,266.98 is: 278,016.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,925.50 : 577,628.82 = 185,266.98 : x
  2. Step 2: Convert to fraction form
    384,925.50/577,628.82 = 185,266.98/x
  3. Step 3: Cross multiply
    384,925.50x = 577,628.82 × 185,266.98
  4. Step 4: Simplify right side
    384,925.50x = 107,015,547,042.36
  5. Step 5: Solve for x
    x = 107,015,547,042.36/384,925.50
  6. Step 6: Final answer
    x = 278,016.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.