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Finding the Fourth Proportional to 434,553.60, 651,830.40 and 382,022.40

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Solution

The fourth proportional to 434,553.60, 651,830.40 and 382,022.40 is: 573,033.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,553.60 : 651,830.40 = 382,022.40 : x
  2. Step 2: Convert to fraction form
    434,553.60/651,830.40 = 382,022.40/x
  3. Step 3: Cross multiply
    434,553.60x = 651,830.40 × 382,022.40
  4. Step 4: Simplify right side
    434,553.60x = 249,013,813,800.96
  5. Step 5: Solve for x
    x = 249,013,813,800.96/434,553.60
  6. Step 6: Final answer
    x = 573,033.60

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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.