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Finding the Fourth Proportional to 657,684.40, 986,453.70 and 184,417.60

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Solution

The fourth proportional to 657,684.40, 986,453.70 and 184,417.60 is: 276,605.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,684.40 : 986,453.70 = 184,417.60 : x
  2. Step 2: Convert to fraction form
    657,684.40/986,453.70 = 184,417.60/x
  3. Step 3: Cross multiply
    657,684.40x = 986,453.70 × 184,417.60
  4. Step 4: Simplify right side
    657,684.40x = 181,919,423,865.12
  5. Step 5: Solve for x
    x = 181,919,423,865.12/657,684.40
  6. Step 6: Final answer
    x = 276,605.96

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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.