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Finding the Fourth Proportional to 462,662, 693,200.16 and 310,574.32

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Solution

The fourth proportional to 462,662, 693,200.16 and 310,574.32 is: 465,329.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,662 : 693,200.16 = 310,574.32 : x
  2. Step 2: Convert to fraction form
    462,662/693,200.16 = 310,574.32/x
  3. Step 3: Cross multiply
    462,662x = 693,200.16 × 310,574.32
  4. Step 4: Simplify right side
    462,662x = 215,290,168,315.89
  5. Step 5: Solve for x
    x = 215,290,168,315.89/462,662
  6. Step 6: Final answer
    x = 465,329.26

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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.