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Finding the Fourth Proportional to 389,302.84, 537,980.49 and 280,763.38

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Solution

The fourth proportional to 389,302.84, 537,980.49 and 280,763.38 is: 387,989.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,302.84 : 537,980.49 = 280,763.38 : x
  2. Step 2: Convert to fraction form
    389,302.84/537,980.49 = 280,763.38/x
  3. Step 3: Cross multiply
    389,302.84x = 537,980.49 × 280,763.38
  4. Step 4: Simplify right side
    389,302.84x = 151,045,220,746.46
  5. Step 5: Solve for x
    x = 151,045,220,746.46/389,302.84
  6. Step 6: Final answer
    x = 387,989.00

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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.