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Finding the Fourth Proportional to 296,484.47, 409,148.83 and 160,518.51

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Solution

The fourth proportional to 296,484.47, 409,148.83 and 160,518.51 is: 221,515.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,484.47 : 409,148.83 = 160,518.51 : x
  2. Step 2: Convert to fraction form
    296,484.47/409,148.83 = 160,518.51/x
  3. Step 3: Cross multiply
    296,484.47x = 409,148.83 × 160,518.51
  4. Step 4: Simplify right side
    296,484.47x = 65,675,960,158.55
  5. Step 5: Solve for x
    x = 65,675,960,158.55/296,484.47
  6. Step 6: Final answer
    x = 221,515.69

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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.