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Finding the Fourth Proportional to 288,258.68, 432,397.74 and 77,898.44

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Solution

The fourth proportional to 288,258.68, 432,397.74 and 77,898.44 is: 116,850.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,258.68 : 432,397.74 = 77,898.44 : x
  2. Step 2: Convert to fraction form
    288,258.68/432,397.74 = 77,898.44/x
  3. Step 3: Cross multiply
    288,258.68x = 432,397.74 × 77,898.44
  4. Step 4: Simplify right side
    288,258.68x = 33,683,109,405.53
  5. Step 5: Solve for x
    x = 33,683,109,405.53/288,258.68
  6. Step 6: Final answer
    x = 116,850.29

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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.