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Finding the Fourth Proportional to 647,999.10, 971,998.65 and 514,154.70

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Solution

The fourth proportional to 647,999.10, 971,998.65 and 514,154.70 is: 771,232.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,999.10 : 971,998.65 = 514,154.70 : x
  2. Step 2: Convert to fraction form
    647,999.10/971,998.65 = 514,154.70/x
  3. Step 3: Cross multiply
    647,999.10x = 971,998.65 × 514,154.70
  4. Step 4: Simplify right side
    647,999.10x = 499,757,674,291.16
  5. Step 5: Solve for x
    x = 499,757,674,291.16/647,999.10
  6. Step 6: Final answer
    x = 771,232.05

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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.