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Finding the Fourth Proportional to 358,266.40, 537,332.70 and 144,978.46

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Solution

The fourth proportional to 358,266.40, 537,332.70 and 144,978.46 is: 217,440.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,266.40 : 537,332.70 = 144,978.46 : x
  2. Step 2: Convert to fraction form
    358,266.40/537,332.70 = 144,978.46/x
  3. Step 3: Cross multiply
    358,266.40x = 537,332.70 × 144,978.46
  4. Step 4: Simplify right side
    358,266.40x = 77,901,667,353.64
  5. Step 5: Solve for x
    x = 77,901,667,353.64/358,266.40
  6. Step 6: Final answer
    x = 217,440.62

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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.