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Finding the Fourth Proportional to 360,751, 497,834.76 and 207,733.36

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Solution

The fourth proportional to 360,751, 497,834.76 and 207,733.36 is: 286,671.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,751 : 497,834.76 = 207,733.36 : x
  2. Step 2: Convert to fraction form
    360,751/497,834.76 = 207,733.36/x
  3. Step 3: Cross multiply
    360,751x = 497,834.76 × 207,733.36
  4. Step 4: Simplify right side
    360,751x = 103,416,887,419.59
  5. Step 5: Solve for x
    x = 103,416,887,419.59/360,751
  6. Step 6: Final answer
    x = 286,671.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.