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Finding the Fourth Proportional to 600,434.72, 828,701.52 and 345,739.04

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Solution

The fourth proportional to 600,434.72, 828,701.52 and 345,739.04 is: 477,178.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,434.72 : 828,701.52 = 345,739.04 : x
  2. Step 2: Convert to fraction form
    600,434.72/828,701.52 = 345,739.04/x
  3. Step 3: Cross multiply
    600,434.72x = 828,701.52 × 345,739.04
  4. Step 4: Simplify right side
    600,434.72x = 286,514,467,971.34
  5. Step 5: Solve for x
    x = 286,514,467,971.34/600,434.72
  6. Step 6: Final answer
    x = 477,178.38

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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.