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Finding the Fourth Proportional to 296,484.64, 409,148.96 and 160,518.58

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Solution

The fourth proportional to 296,484.64, 409,148.96 and 160,518.58 is: 221,515.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,484.64 : 409,148.96 = 160,518.58 : x
  2. Step 2: Convert to fraction form
    296,484.64/409,148.96 = 160,518.58/x
  3. Step 3: Cross multiply
    296,484.64x = 409,148.96 × 160,518.58
  4. Step 4: Simplify right side
    296,484.64x = 65,676,008,242.21
  5. Step 5: Solve for x
    x = 65,676,008,242.21/296,484.64
  6. Step 6: Final answer
    x = 221,515.72

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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.