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Finding the Fourth Proportional to 477,893.76, 658,795.20 and 334,206.72

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Solution

The fourth proportional to 477,893.76, 658,795.20 and 334,206.72 is: 460,717.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,893.76 : 658,795.20 = 334,206.72 : x
  2. Step 2: Convert to fraction form
    477,893.76/658,795.20 = 334,206.72/x
  3. Step 3: Cross multiply
    477,893.76x = 658,795.20 × 334,206.72
  4. Step 4: Simplify right side
    477,893.76x = 220,173,782,943.74
  5. Step 5: Solve for x
    x = 220,173,782,943.74/477,893.76
  6. Step 6: Final answer
    x = 460,717.01

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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.