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Finding the Fourth Proportional to 296,461.66, 409,116.58 and 160,495.56

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Solution

The fourth proportional to 296,461.66, 409,116.58 and 160,495.56 is: 221,483.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,461.66 : 409,116.58 = 160,495.56 : x
  2. Step 2: Convert to fraction form
    296,461.66/409,116.58 = 160,495.56/x
  3. Step 3: Cross multiply
    296,461.66x = 409,116.58 × 160,495.56
  4. Step 4: Simplify right side
    296,461.66x = 65,661,394,612.38
  5. Step 5: Solve for x
    x = 65,661,394,612.38/296,461.66
  6. Step 6: Final answer
    x = 221,483.60

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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.