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Finding the Fourth Proportional to 597,970.67, 896,447.97 and 278,308.17

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Solution

The fourth proportional to 597,970.67, 896,447.97 and 278,308.17 is: 417,225.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,970.67 : 896,447.97 = 278,308.17 : x
  2. Step 2: Convert to fraction form
    597,970.67/896,447.97 = 278,308.17/x
  3. Step 3: Cross multiply
    597,970.67x = 896,447.97 × 278,308.17
  4. Step 4: Simplify right side
    597,970.67x = 249,488,794,030.92
  5. Step 5: Solve for x
    x = 249,488,794,030.92/597,970.67
  6. Step 6: Final answer
    x = 417,225.81

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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.