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Finding the Fourth Proportional to 434,564.70, 651,847.05 and 410,070.30

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Solution

The fourth proportional to 434,564.70, 651,847.05 and 410,070.30 is: 615,105.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,564.70 : 651,847.05 = 410,070.30 : x
  2. Step 2: Convert to fraction form
    434,564.70/651,847.05 = 410,070.30/x
  3. Step 3: Cross multiply
    434,564.70x = 651,847.05 × 410,070.30
  4. Step 4: Simplify right side
    434,564.70x = 267,303,115,347.62
  5. Step 5: Solve for x
    x = 267,303,115,347.62/434,564.70
  6. Step 6: Final answer
    x = 615,105.45

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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.