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Finding the Fourth Proportional to 477,006.90, 714,329.34 and 350,346.78

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Solution

The fourth proportional to 477,006.90, 714,329.34 and 350,346.78 is: 524,652.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,006.90 : 714,329.34 = 350,346.78 : x
  2. Step 2: Convert to fraction form
    477,006.90/714,329.34 = 350,346.78/x
  3. Step 3: Cross multiply
    477,006.90x = 714,329.34 × 350,346.78
  4. Step 4: Simplify right side
    477,006.90x = 250,262,984,128.53
  5. Step 5: Solve for x
    x = 250,262,984,128.53/477,006.90
  6. Step 6: Final answer
    x = 524,652.75

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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.