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Finding the Fourth Proportional to 523,663.83, 784,763.53 and 283,258.76

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Solution

The fourth proportional to 523,663.83, 784,763.53 and 283,258.76 is: 424,492.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,663.83 : 784,763.53 = 283,258.76 : x
  2. Step 2: Convert to fraction form
    523,663.83/784,763.53 = 283,258.76/x
  3. Step 3: Cross multiply
    523,663.83x = 784,763.53 × 283,258.76
  4. Step 4: Simplify right side
    523,663.83x = 222,291,139,769.06
  5. Step 5: Solve for x
    x = 222,291,139,769.06/523,663.83
  6. Step 6: Final answer
    x = 424,492.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.