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Finding the Fourth Proportional to 296,325.56, 408,929.24 and 160,359.50

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Solution

The fourth proportional to 296,325.56, 408,929.24 and 160,359.50 is: 221,296.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,325.56 : 408,929.24 = 160,359.50 : x
  2. Step 2: Convert to fraction form
    296,325.56/408,929.24 = 160,359.50/x
  3. Step 3: Cross multiply
    296,325.56x = 408,929.24 × 160,359.50
  4. Step 4: Simplify right side
    296,325.56x = 65,575,689,885.00
  5. Step 5: Solve for x
    x = 65,575,689,885.00/296,325.56
  6. Step 6: Final answer
    x = 221,296.10

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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.