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Finding the Fourth Proportional to 472,702.89, 709,233.48 and 283,299.18

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Solution

The fourth proportional to 472,702.89, 709,233.48 and 283,299.18 is: 425,056.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,702.89 : 709,233.48 = 283,299.18 : x
  2. Step 2: Convert to fraction form
    472,702.89/709,233.48 = 283,299.18/x
  3. Step 3: Cross multiply
    472,702.89x = 709,233.48 × 283,299.18
  4. Step 4: Simplify right side
    472,702.89x = 200,925,263,312.55
  5. Step 5: Solve for x
    x = 200,925,263,312.55/472,702.89
  6. Step 6: Final answer
    x = 425,056.13

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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.