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Finding the Fourth Proportional to 463,482.46, 695,048.73 and 213,989.50

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Solution

The fourth proportional to 463,482.46, 695,048.73 and 213,989.50 is: 320,903.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,482.46 : 695,048.73 = 213,989.50 : x
  2. Step 2: Convert to fraction form
    463,482.46/695,048.73 = 213,989.50/x
  3. Step 3: Cross multiply
    463,482.46x = 695,048.73 × 213,989.50
  4. Step 4: Simplify right side
    463,482.46x = 148,733,130,208.34
  5. Step 5: Solve for x
    x = 148,733,130,208.34/463,482.46
  6. Step 6: Final answer
    x = 320,903.47

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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.