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Finding the Fourth Proportional to 781,446.01, 1,078,562.98 and 509,027.82

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Solution

The fourth proportional to 781,446.01, 1,078,562.98 and 509,027.82 is: 702,567.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,446.01 : 1,078,562.98 = 509,027.82 : x
  2. Step 2: Convert to fraction form
    781,446.01/1,078,562.98 = 509,027.82/x
  3. Step 3: Cross multiply
    781,446.01x = 1,078,562.98 × 509,027.82
  4. Step 4: Simplify right side
    781,446.01x = 549,018,559,896.97
  5. Step 5: Solve for x
    x = 549,018,559,896.97/781,446.01
  6. Step 6: Final answer
    x = 702,567.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.