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Finding the Fourth Proportional to 296,446.97, 409,094.03 and 160,477.45

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Solution

The fourth proportional to 296,446.97, 409,094.03 and 160,477.45 is: 221,457.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,446.97 : 409,094.03 = 160,477.45 : x
  2. Step 2: Convert to fraction form
    296,446.97/409,094.03 = 160,477.45/x
  3. Step 3: Cross multiply
    296,446.97x = 409,094.03 × 160,477.45
  4. Step 4: Simplify right side
    296,446.97x = 65,650,363,896.77
  5. Step 5: Solve for x
    x = 65,650,363,896.77/296,446.97
  6. Step 6: Final answer
    x = 221,457.36

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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.