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Finding the Fourth Proportional to 294,376.99, 406,247.70 and 165,325.76

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Solution

The fourth proportional to 294,376.99, 406,247.70 and 165,325.76 is: 228,153.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,376.99 : 406,247.70 = 165,325.76 : x
  2. Step 2: Convert to fraction form
    294,376.99/406,247.70 = 165,325.76/x
  3. Step 3: Cross multiply
    294,376.99x = 406,247.70 × 165,325.76
  4. Step 4: Simplify right side
    294,376.99x = 67,163,211,386.34
  5. Step 5: Solve for x
    x = 67,163,211,386.34/294,376.99
  6. Step 6: Final answer
    x = 228,153.74

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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.