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Finding the Fourth Proportional to 409,029.65, 564,738 and 256,129.19

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Solution

The fourth proportional to 409,029.65, 564,738 and 256,129.19 is: 353,631.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,029.65 : 564,738 = 256,129.19 : x
  2. Step 2: Convert to fraction form
    409,029.65/564,738 = 256,129.19/x
  3. Step 3: Cross multiply
    409,029.65x = 564,738 × 256,129.19
  4. Step 4: Simplify right side
    409,029.65x = 144,645,886,502.22
  5. Step 5: Solve for x
    x = 144,645,886,502.22/409,029.65
  6. Step 6: Final answer
    x = 353,631.79

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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.