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Finding the Fourth Proportional to 296,461.46, 409,113.51 and 160,492.16

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Solution

The fourth proportional to 296,461.46, 409,113.51 and 160,492.16 is: 221,477.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,461.46 : 409,113.51 = 160,492.16 : x
  2. Step 2: Convert to fraction form
    296,461.46/409,113.51 = 160,492.16/x
  3. Step 3: Cross multiply
    296,461.46x = 409,113.51 × 160,492.16
  4. Step 4: Simplify right side
    296,461.46x = 65,659,510,905.08
  5. Step 5: Solve for x
    x = 65,659,510,905.08/296,461.46
  6. Step 6: Final answer
    x = 221,477.39

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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.