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Finding the Fourth Proportional to 368,478, 508,498.72 and 207,333.26

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Solution

The fourth proportional to 368,478, 508,498.72 and 207,333.26 is: 286,119.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,478 : 508,498.72 = 207,333.26 : x
  2. Step 2: Convert to fraction form
    368,478/508,498.72 = 207,333.26/x
  3. Step 3: Cross multiply
    368,478x = 508,498.72 × 207,333.26
  4. Step 4: Simplify right side
    368,478x = 105,428,697,323.43
  5. Step 5: Solve for x
    x = 105,428,697,323.43/368,478
  6. Step 6: Final answer
    x = 286,119.38

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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.