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Finding the Fourth Proportional to 314,284, 433,711.92 and 180,225.76

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Solution

The fourth proportional to 314,284, 433,711.92 and 180,225.76 is: 248,711.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,284 : 433,711.92 = 180,225.76 : x
  2. Step 2: Convert to fraction form
    314,284/433,711.92 = 180,225.76/x
  3. Step 3: Cross multiply
    314,284x = 433,711.92 × 180,225.76
  4. Step 4: Simplify right side
    314,284x = 78,166,060,403.06
  5. Step 5: Solve for x
    x = 78,166,060,403.06/314,284
  6. Step 6: Final answer
    x = 248,711.55

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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.