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Finding the Fourth Proportional to 307,841.40, 461,762.10 and 302,592.60

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Solution

The fourth proportional to 307,841.40, 461,762.10 and 302,592.60 is: 453,888.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,841.40 : 461,762.10 = 302,592.60 : x
  2. Step 2: Convert to fraction form
    307,841.40/461,762.10 = 302,592.60/x
  3. Step 3: Cross multiply
    307,841.40x = 461,762.10 × 302,592.60
  4. Step 4: Simplify right side
    307,841.40x = 139,725,794,420.46
  5. Step 5: Solve for x
    x = 139,725,794,420.46/307,841.40
  6. Step 6: Final answer
    x = 453,888.90

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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.