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Finding the Fourth Proportional to 477,221.14, 714,274.06 and 350,827.92

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Solution

The fourth proportional to 477,221.14, 714,274.06 and 350,827.92 is: 525,096.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,221.14 : 714,274.06 = 350,827.92 : x
  2. Step 2: Convert to fraction form
    477,221.14/714,274.06 = 350,827.92/x
  3. Step 3: Cross multiply
    477,221.14x = 714,274.06 × 350,827.92
  4. Step 4: Simplify right side
    477,221.14x = 250,587,282,779.76
  5. Step 5: Solve for x
    x = 250,587,282,779.76/477,221.14
  6. Step 6: Final answer
    x = 525,096.78

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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.