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Finding the Fourth Proportional to 410,300.70, 615,159.45 and 185,768.70

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Solution

The fourth proportional to 410,300.70, 615,159.45 and 185,768.70 is: 278,521.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,300.70 : 615,159.45 = 185,768.70 : x
  2. Step 2: Convert to fraction form
    410,300.70/615,159.45 = 185,768.70/x
  3. Step 3: Cross multiply
    410,300.70x = 615,159.45 × 185,768.70
  4. Step 4: Simplify right side
    410,300.70x = 114,277,371,319.22
  5. Step 5: Solve for x
    x = 114,277,371,319.22/410,300.70
  6. Step 6: Final answer
    x = 278,521.02

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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.