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Finding the Fourth Proportional to 538,414.40, 807,621.60 and 349,457.60

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Solution

The fourth proportional to 538,414.40, 807,621.60 and 349,457.60 is: 524,186.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,414.40 : 807,621.60 = 349,457.60 : x
  2. Step 2: Convert to fraction form
    538,414.40/807,621.60 = 349,457.60/x
  3. Step 3: Cross multiply
    538,414.40x = 807,621.60 × 349,457.60
  4. Step 4: Simplify right side
    538,414.40x = 282,229,506,044.16
  5. Step 5: Solve for x
    x = 282,229,506,044.16/538,414.40
  6. Step 6: Final answer
    x = 524,186.40

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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.