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Finding the Fourth Proportional to 415,716.36, 573,688.35 and 224,730.11

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Solution

The fourth proportional to 415,716.36, 573,688.35 and 224,730.11 is: 310,127.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,716.36 : 573,688.35 = 224,730.11 : x
  2. Step 2: Convert to fraction form
    415,716.36/573,688.35 = 224,730.11/x
  3. Step 3: Cross multiply
    415,716.36x = 573,688.35 × 224,730.11
  4. Step 4: Simplify right side
    415,716.36x = 128,925,043,132.78
  5. Step 5: Solve for x
    x = 128,925,043,132.78/415,716.36
  6. Step 6: Final answer
    x = 310,127.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.