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Finding the Fourth Proportional to 462,029.66, 638,225.00 and 348,168.98

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Solution

The fourth proportional to 462,029.66, 638,225.00 and 348,168.98 is: 480,943.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,029.66 : 638,225.00 = 348,168.98 : x
  2. Step 2: Convert to fraction form
    462,029.66/638,225.00 = 348,168.98/x
  3. Step 3: Cross multiply
    462,029.66x = 638,225.00 × 348,168.98
  4. Step 4: Simplify right side
    462,029.66x = 222,210,142,328.53
  5. Step 5: Solve for x
    x = 222,210,142,328.53/462,029.66
  6. Step 6: Final answer
    x = 480,943.46

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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.