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Finding the Fourth Proportional to 296,478.16, 409,139.99 and 160,512.10

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Solution

The fourth proportional to 296,478.16, 409,139.99 and 160,512.10 is: 221,506.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,478.16 : 409,139.99 = 160,512.10 : x
  2. Step 2: Convert to fraction form
    296,478.16/409,139.99 = 160,512.10/x
  3. Step 3: Cross multiply
    296,478.16x = 409,139.99 × 160,512.10
  4. Step 4: Simplify right side
    296,478.16x = 65,671,918,988.88
  5. Step 5: Solve for x
    x = 65,671,918,988.88/296,478.16
  6. Step 6: Final answer
    x = 221,506.77

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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.