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Finding the Fourth Proportional to 296,475.84, 409,136.83 and 160,509.82

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Solution

The fourth proportional to 296,475.84, 409,136.83 and 160,509.82 is: 221,503.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,475.84 : 409,136.83 = 160,509.82 : x
  2. Step 2: Convert to fraction form
    296,475.84/409,136.83 = 160,509.82/x
  3. Step 3: Cross multiply
    296,475.84x = 409,136.83 × 160,509.82
  4. Step 4: Simplify right side
    296,475.84x = 65,670,478,938.67
  5. Step 5: Solve for x
    x = 65,670,478,938.67/296,475.84
  6. Step 6: Final answer
    x = 221,503.64

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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.