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Finding the Fourth Proportional to 229,534, 344,320.85 and 63,322

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Solution

The fourth proportional to 229,534, 344,320.85 and 63,322 is: 94,988.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,534 : 344,320.85 = 63,322 : x
  2. Step 2: Convert to fraction form
    229,534/344,320.85 = 63,322/x
  3. Step 3: Cross multiply
    229,534x = 344,320.85 × 63,322
  4. Step 4: Simplify right side
    229,534x = 21,803,084,547.09
  5. Step 5: Solve for x
    x = 21,803,084,547.09/229,534
  6. Step 6: Final answer
    x = 94,988.47

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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.