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Finding the Fourth Proportional to 753,429.84, 1,039,728.24 and 409,262.64

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Solution

The fourth proportional to 753,429.84, 1,039,728.24 and 409,262.64 is: 564,779.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,429.84 : 1,039,728.24 = 409,262.64 : x
  2. Step 2: Convert to fraction form
    753,429.84/1,039,728.24 = 409,262.64/x
  3. Step 3: Cross multiply
    753,429.84x = 1,039,728.24 × 409,262.64
  4. Step 4: Simplify right side
    753,429.84x = 425,521,924,384.95
  5. Step 5: Solve for x
    x = 425,521,924,384.95/753,429.84
  6. Step 6: Final answer
    x = 564,779.76

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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.