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Finding the Fourth Proportional to 441,214.32, 661,592.48 and 216,476.40

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Solution

The fourth proportional to 441,214.32, 661,592.48 and 216,476.40 is: 324,602.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,214.32 : 661,592.48 = 216,476.40 : x
  2. Step 2: Convert to fraction form
    441,214.32/661,592.48 = 216,476.40/x
  3. Step 3: Cross multiply
    441,214.32x = 661,592.48 × 216,476.40
  4. Step 4: Simplify right side
    441,214.32x = 143,219,158,337.47
  5. Step 5: Solve for x
    x = 143,219,158,337.47/441,214.32
  6. Step 6: Final answer
    x = 324,602.24

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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.