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Finding the Fourth Proportional to 589,129.72, 812,970.04 and 334,447.48

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Solution

The fourth proportional to 589,129.72, 812,970.04 and 334,447.48 is: 461,521.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,129.72 : 812,970.04 = 334,447.48 : x
  2. Step 2: Convert to fraction form
    589,129.72/812,970.04 = 334,447.48/x
  3. Step 3: Cross multiply
    589,129.72x = 812,970.04 × 334,447.48
  4. Step 4: Simplify right side
    589,129.72x = 271,895,781,193.50
  5. Step 5: Solve for x
    x = 271,895,781,193.50/589,129.72
  6. Step 6: Final answer
    x = 461,521.07

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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.