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Finding the Fourth Proportional to 410,484.51, 566,156.90 and 353,219.81

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Solution

The fourth proportional to 410,484.51, 566,156.90 and 353,219.81 is: 487,175.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,484.51 : 566,156.90 = 353,219.81 : x
  2. Step 2: Convert to fraction form
    410,484.51/566,156.90 = 353,219.81/x
  3. Step 3: Cross multiply
    410,484.51x = 566,156.90 × 353,219.81
  4. Step 4: Simplify right side
    410,484.51x = 199,977,828,051.31
  5. Step 5: Solve for x
    x = 199,977,828,051.31/410,484.51
  6. Step 6: Final answer
    x = 487,175.09

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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.