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Finding the Fourth Proportional to 297,002.88, 409,698.54 and 176,027.76

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Solution

The fourth proportional to 297,002.88, 409,698.54 and 176,027.76 is: 242,820.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,002.88 : 409,698.54 = 176,027.76 : x
  2. Step 2: Convert to fraction form
    297,002.88/409,698.54 = 176,027.76/x
  3. Step 3: Cross multiply
    297,002.88x = 409,698.54 × 176,027.76
  4. Step 4: Simplify right side
    297,002.88x = 72,118,316,271.47
  5. Step 5: Solve for x
    x = 72,118,316,271.47/297,002.88
  6. Step 6: Final answer
    x = 242,820.26

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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.