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Finding the Fourth Proportional to 410,476.30, 615,386.40 and 173,624.20

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Solution

The fourth proportional to 410,476.30, 615,386.40 and 173,624.20 is: 260,297.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,476.30 : 615,386.40 = 173,624.20 : x
  2. Step 2: Convert to fraction form
    410,476.30/615,386.40 = 173,624.20/x
  3. Step 3: Cross multiply
    410,476.30x = 615,386.40 × 173,624.20
  4. Step 4: Simplify right side
    410,476.30x = 106,845,971,390.88
  5. Step 5: Solve for x
    x = 106,845,971,390.88/410,476.30
  6. Step 6: Final answer
    x = 260,297.54

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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.