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Finding the Fourth Proportional to 563,506.84, 845,591.96 and 208,768.15

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Solution

The fourth proportional to 563,506.84, 845,591.96 and 208,768.15 is: 313,275.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,506.84 : 845,591.96 = 208,768.15 : x
  2. Step 2: Convert to fraction form
    563,506.84/845,591.96 = 208,768.15/x
  3. Step 3: Cross multiply
    563,506.84x = 845,591.96 × 208,768.15
  4. Step 4: Simplify right side
    563,506.84x = 176,532,669,144.07
  5. Step 5: Solve for x
    x = 176,532,669,144.07/563,506.84
  6. Step 6: Final answer
    x = 313,275.11

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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.