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Finding the Fourth Proportional to 413,315.83, 620,038.55 and 176,659.75

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Solution

The fourth proportional to 413,315.83, 620,038.55 and 176,659.75 is: 265,017.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,315.83 : 620,038.55 = 176,659.75 : x
  2. Step 2: Convert to fraction form
    413,315.83/620,038.55 = 176,659.75/x
  3. Step 3: Cross multiply
    413,315.83x = 620,038.55 × 176,659.75
  4. Step 4: Simplify right side
    413,315.83x = 109,535,855,233.36
  5. Step 5: Solve for x
    x = 109,535,855,233.36/413,315.83
  6. Step 6: Final answer
    x = 265,017.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.