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Finding the Fourth Proportional to 567,834.94, 850,702.65 and 286,680.70

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Solution

The fourth proportional to 567,834.94, 850,702.65 and 286,680.70 is: 429,491.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,834.94 : 850,702.65 = 286,680.70 : x
  2. Step 2: Convert to fraction form
    567,834.94/850,702.65 = 286,680.70/x
  3. Step 3: Cross multiply
    567,834.94x = 850,702.65 × 286,680.70
  4. Step 4: Simplify right side
    567,834.94x = 243,880,031,193.86
  5. Step 5: Solve for x
    x = 243,880,031,193.86/567,834.94
  6. Step 6: Final answer
    x = 429,491.06

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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.