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Finding the Fourth Proportional to 297,307.46, 410,256.81 and 176,427.86

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Solution

The fourth proportional to 297,307.46, 410,256.81 and 176,427.86 is: 243,454.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,307.46 : 410,256.81 = 176,427.86 : x
  2. Step 2: Convert to fraction form
    297,307.46/410,256.81 = 176,427.86/x
  3. Step 3: Cross multiply
    297,307.46x = 410,256.81 × 176,427.86
  4. Step 4: Simplify right side
    297,307.46x = 72,380,731,038.73
  5. Step 5: Solve for x
    x = 72,380,731,038.73/297,307.46
  6. Step 6: Final answer
    x = 243,454.14

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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.