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Finding the Fourth Proportional to 296,492.30, 409,154.46 and 160,525.16

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Solution

The fourth proportional to 296,492.30, 409,154.46 and 160,525.16 is: 221,522.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,492.30 : 409,154.46 = 160,525.16 : x
  2. Step 2: Convert to fraction form
    296,492.30/409,154.46 = 160,525.16/x
  3. Step 3: Cross multiply
    296,492.30x = 409,154.46 × 160,525.16
  4. Step 4: Simplify right side
    296,492.30x = 65,679,585,156.21
  5. Step 5: Solve for x
    x = 65,679,585,156.21/296,492.30
  6. Step 6: Final answer
    x = 221,522.06

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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.