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Finding the Fourth Proportional to 567,205.74, 782,733.85 and 309,084.93

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Solution

The fourth proportional to 567,205.74, 782,733.85 and 309,084.93 is: 426,531.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,205.74 : 782,733.85 = 309,084.93 : x
  2. Step 2: Convert to fraction form
    567,205.74/782,733.85 = 309,084.93/x
  3. Step 3: Cross multiply
    567,205.74x = 782,733.85 × 309,084.93
  4. Step 4: Simplify right side
    567,205.74x = 241,931,236,463.17
  5. Step 5: Solve for x
    x = 241,931,236,463.17/567,205.74
  6. Step 6: Final answer
    x = 426,531.71

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1.5x scale

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.