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Finding the Fourth Proportional to 377,184, 520,513.92 and 207,429.12

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Solution

The fourth proportional to 377,184, 520,513.92 and 207,429.12 is: 286,252.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,184 : 520,513.92 = 207,429.12 : x
  2. Step 2: Convert to fraction form
    377,184/520,513.92 = 207,429.12/x
  3. Step 3: Cross multiply
    377,184x = 520,513.92 × 207,429.12
  4. Step 4: Simplify right side
    377,184x = 107,969,744,373.35
  5. Step 5: Solve for x
    x = 107,969,744,373.35/377,184
  6. Step 6: Final answer
    x = 286,252.19

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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.