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Finding the Fourth Proportional to 460,263.60, 689,747.40 and 365,655.60

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Solution

The fourth proportional to 460,263.60, 689,747.40 and 365,655.60 is: 547,968.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,263.60 : 689,747.40 = 365,655.60 : x
  2. Step 2: Convert to fraction form
    460,263.60/689,747.40 = 365,655.60/x
  3. Step 3: Cross multiply
    460,263.60x = 689,747.40 × 365,655.60
  4. Step 4: Simplify right side
    460,263.60x = 252,209,999,395.44
  5. Step 5: Solve for x
    x = 252,209,999,395.44/460,263.60
  6. Step 6: Final answer
    x = 547,968.60

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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.