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Finding the Fourth Proportional to 434,201.40, 651,302.10 and 355,404.60

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Solution

The fourth proportional to 434,201.40, 651,302.10 and 355,404.60 is: 533,106.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,201.40 : 651,302.10 = 355,404.60 : x
  2. Step 2: Convert to fraction form
    434,201.40/651,302.10 = 355,404.60/x
  3. Step 3: Cross multiply
    434,201.40x = 651,302.10 × 355,404.60
  4. Step 4: Simplify right side
    434,201.40x = 231,475,762,329.66
  5. Step 5: Solve for x
    x = 231,475,762,329.66/434,201.40
  6. Step 6: Final answer
    x = 533,106.90

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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.