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Finding the Fourth Proportional to 374,475.94, 516,776.82 and 204,710.06

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Solution

The fourth proportional to 374,475.94, 516,776.82 and 204,710.06 is: 282,499.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,475.94 : 516,776.82 = 204,710.06 : x
  2. Step 2: Convert to fraction form
    374,475.94/516,776.82 = 204,710.06/x
  3. Step 3: Cross multiply
    374,475.94x = 516,776.82 × 204,710.06
  4. Step 4: Simplify right side
    374,475.94x = 105,789,413,828.81
  5. Step 5: Solve for x
    x = 105,789,413,828.81/374,475.94
  6. Step 6: Final answer
    x = 282,499.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.