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Finding the Fourth Proportional to 425,265.84, 637,677.29 and 200,565.95

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Solution

The fourth proportional to 425,265.84, 637,677.29 and 200,565.95 is: 300,744.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,265.84 : 637,677.29 = 200,565.95 : x
  2. Step 2: Convert to fraction form
    425,265.84/637,677.29 = 200,565.95/x
  3. Step 3: Cross multiply
    425,265.84x = 637,677.29 × 200,565.95
  4. Step 4: Simplify right side
    425,265.84x = 127,896,347,271.06
  5. Step 5: Solve for x
    x = 127,896,347,271.06/425,265.84
  6. Step 6: Final answer
    x = 300,744.46

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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.