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Finding the Fourth Proportional to 684,894.18, 944,939.70 and 413,045.22

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Solution

The fourth proportional to 684,894.18, 944,939.70 and 413,045.22 is: 569,873.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,894.18 : 944,939.70 = 413,045.22 : x
  2. Step 2: Convert to fraction form
    684,894.18/944,939.70 = 413,045.22/x
  3. Step 3: Cross multiply
    684,894.18x = 944,939.70 × 413,045.22
  4. Step 4: Simplify right side
    684,894.18x = 390,302,826,273.23
  5. Step 5: Solve for x
    x = 390,302,826,273.23/684,894.18
  6. Step 6: Final answer
    x = 569,873.18

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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.