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Finding the Fourth Proportional to 409,686.84, 565,322.18 and 228,385.08

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Solution

The fourth proportional to 409,686.84, 565,322.18 and 228,385.08 is: 315,145.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,686.84 : 565,322.18 = 228,385.08 : x
  2. Step 2: Convert to fraction form
    409,686.84/565,322.18 = 228,385.08/x
  3. Step 3: Cross multiply
    409,686.84x = 565,322.18 × 228,385.08
  4. Step 4: Simplify right side
    409,686.84x = 129,111,151,305.07
  5. Step 5: Solve for x
    x = 129,111,151,305.07/409,686.84
  6. Step 6: Final answer
    x = 315,145.96

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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.