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Finding the Fourth Proportional to 369,911.34, 510,422.92 and 224,641.58

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Solution

The fourth proportional to 369,911.34, 510,422.92 and 224,641.58 is: 309,972.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,911.34 : 510,422.92 = 224,641.58 : x
  2. Step 2: Convert to fraction form
    369,911.34/510,422.92 = 224,641.58/x
  3. Step 3: Cross multiply
    369,911.34x = 510,422.92 × 224,641.58
  4. Step 4: Simplify right side
    369,911.34x = 114,662,208,103.30
  5. Step 5: Solve for x
    x = 114,662,208,103.30/369,911.34
  6. Step 6: Final answer
    x = 309,972.14

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1.5x scale

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.