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Finding the Fourth Proportional to 522,461.63, 783,702.17 and 148,494.35

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Solution

The fourth proportional to 522,461.63, 783,702.17 and 148,494.35 is: 222,744.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,461.63 : 783,702.17 = 148,494.35 : x
  2. Step 2: Convert to fraction form
    522,461.63/783,702.17 = 148,494.35/x
  3. Step 3: Cross multiply
    522,461.63x = 783,702.17 × 148,494.35
  4. Step 4: Simplify right side
    522,461.63x = 116,375,339,666.76
  5. Step 5: Solve for x
    x = 116,375,339,666.76/522,461.63
  6. Step 6: Final answer
    x = 222,744.28

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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.