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Finding the Fourth Proportional to 306,581.76, 462,752.10 and 306,581.76

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Solution

The fourth proportional to 306,581.76, 462,752.10 and 306,581.76 is: 462,752.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,581.76 : 462,752.10 = 306,581.76 : x
  2. Step 2: Convert to fraction form
    306,581.76/462,752.10 = 306,581.76/x
  3. Step 3: Cross multiply
    306,581.76x = 462,752.10 × 306,581.76
  4. Step 4: Simplify right side
    306,581.76x = 141,871,353,261.70
  5. Step 5: Solve for x
    x = 141,871,353,261.70/306,581.76
  6. Step 6: Final answer
    x = 462,752.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.