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Finding the Fourth Proportional to 410,045.60, 615,068.40 and 188,429.60

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Solution

The fourth proportional to 410,045.60, 615,068.40 and 188,429.60 is: 282,644.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,045.60 : 615,068.40 = 188,429.60 : x
  2. Step 2: Convert to fraction form
    410,045.60/615,068.40 = 188,429.60/x
  3. Step 3: Cross multiply
    410,045.60x = 615,068.40 × 188,429.60
  4. Step 4: Simplify right side
    410,045.60x = 115,897,092,584.64
  5. Step 5: Solve for x
    x = 115,897,092,584.64/410,045.60
  6. Step 6: Final answer
    x = 282,644.40

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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.