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Finding the Fourth Proportional to 354,176.34, 488,763.72 and 193,031.52

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Solution

The fourth proportional to 354,176.34, 488,763.72 and 193,031.52 is: 266,383.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,176.34 : 488,763.72 = 193,031.52 : x
  2. Step 2: Convert to fraction form
    354,176.34/488,763.72 = 193,031.52/x
  3. Step 3: Cross multiply
    354,176.34x = 488,763.72 × 193,031.52
  4. Step 4: Simplify right side
    354,176.34x = 94,346,803,792.45
  5. Step 5: Solve for x
    x = 94,346,803,792.45/354,176.34
  6. Step 6: Final answer
    x = 266,383.70

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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.