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Finding the Fourth Proportional to 460,354.30, 689,365.05 and 367,042.30

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Solution

The fourth proportional to 460,354.30, 689,365.05 and 367,042.30 is: 549,633.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,354.30 : 689,365.05 = 367,042.30 : x
  2. Step 2: Convert to fraction form
    460,354.30/689,365.05 = 367,042.30/x
  3. Step 3: Cross multiply
    460,354.30x = 689,365.05 × 367,042.30
  4. Step 4: Simplify right side
    460,354.30x = 253,026,133,491.62
  5. Step 5: Solve for x
    x = 253,026,133,491.62/460,354.30
  6. Step 6: Final answer
    x = 549,633.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.