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Finding the Fourth Proportional to 922,651.10, 1,384,195.35 and 473,441.30

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Solution

The fourth proportional to 922,651.10, 1,384,195.35 and 473,441.30 is: 710,274.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,651.10 : 1,384,195.35 = 473,441.30 : x
  2. Step 2: Convert to fraction form
    922,651.10/1,384,195.35 = 473,441.30/x
  3. Step 3: Cross multiply
    922,651.10x = 1,384,195.35 × 473,441.30
  4. Step 4: Simplify right side
    922,651.10x = 655,335,245,957.96
  5. Step 5: Solve for x
    x = 655,335,245,957.96/922,651.10
  6. Step 6: Final answer
    x = 710,274.17

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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.