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Finding the Fourth Proportional to 296,482.09, 409,145.55 and 160,516.14

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Solution

The fourth proportional to 296,482.09, 409,145.55 and 160,516.14 is: 221,512.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,482.09 : 409,145.55 = 160,516.14 : x
  2. Step 2: Convert to fraction form
    296,482.09/409,145.55 = 160,516.14/x
  3. Step 3: Cross multiply
    296,482.09x = 409,145.55 × 160,516.14
  4. Step 4: Simplify right side
    296,482.09x = 65,674,464,384.18
  5. Step 5: Solve for x
    x = 65,674,464,384.18/296,482.09
  6. Step 6: Final answer
    x = 221,512.42

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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.