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Finding the Fourth Proportional to 403,030, 556,184.64 and 224,182

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Solution

The fourth proportional to 403,030, 556,184.64 and 224,182 is: 309,372.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,030 : 556,184.64 = 224,182 : x
  2. Step 2: Convert to fraction form
    403,030/556,184.64 = 224,182/x
  3. Step 3: Cross multiply
    403,030x = 556,184.64 × 224,182
  4. Step 4: Simplify right side
    403,030x = 124,686,584,964.48
  5. Step 5: Solve for x
    x = 124,686,584,964.48/403,030
  6. Step 6: Final answer
    x = 309,372.96

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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.