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Finding the Fourth Proportional to 746,751, 1,030,594.14 and 460,263.72

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Solution

The fourth proportional to 746,751, 1,030,594.14 and 460,263.72 is: 635,211.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,751 : 1,030,594.14 = 460,263.72 : x
  2. Step 2: Convert to fraction form
    746,751/1,030,594.14 = 460,263.72/x
  3. Step 3: Cross multiply
    746,751x = 1,030,594.14 × 460,263.72
  4. Step 4: Simplify right side
    746,751x = 474,345,092,686.60
  5. Step 5: Solve for x
    x = 474,345,092,686.60/746,751
  6. Step 6: Final answer
    x = 635,211.86

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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.