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Finding the Fourth Proportional to 731,796, 1,009,733.49 and 409,443.54

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Solution

The fourth proportional to 731,796, 1,009,733.49 and 409,443.54 is: 564,950.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,796 : 1,009,733.49 = 409,443.54 : x
  2. Step 2: Convert to fraction form
    731,796/1,009,733.49 = 409,443.54/x
  3. Step 3: Cross multiply
    731,796x = 1,009,733.49 × 409,443.54
  4. Step 4: Simplify right side
    731,796x = 413,428,854,602.16
  5. Step 5: Solve for x
    x = 413,428,854,602.16/731,796
  6. Step 6: Final answer
    x = 564,950.96

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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.