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Finding the Fourth Proportional to 297,005.88, 409,702.68 and 176,030.76

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Solution

The fourth proportional to 297,005.88, 409,702.68 and 176,030.76 is: 242,824.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,005.88 : 409,702.68 = 176,030.76 : x
  2. Step 2: Convert to fraction form
    297,005.88/409,702.68 = 176,030.76/x
  3. Step 3: Cross multiply
    297,005.88x = 409,702.68 × 176,030.76
  4. Step 4: Simplify right side
    297,005.88x = 72,120,274,134.44
  5. Step 5: Solve for x
    x = 72,120,274,134.44/297,005.88
  6. Step 6: Final answer
    x = 242,824.40

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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.