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Finding the Fourth Proportional to 781,447.63, 1,078,565.22 and 509,029.45

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Solution

The fourth proportional to 781,447.63, 1,078,565.22 and 509,029.45 is: 702,569.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,447.63 : 1,078,565.22 = 509,029.45 : x
  2. Step 2: Convert to fraction form
    781,447.63/1,078,565.22 = 509,029.45/x
  3. Step 3: Cross multiply
    781,447.63x = 1,078,565.22 × 509,029.45
  4. Step 4: Simplify right side
    781,447.63x = 549,021,460,725.73
  5. Step 5: Solve for x
    x = 549,021,460,725.73/781,447.63
  6. Step 6: Final answer
    x = 702,569.74

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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.