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Finding the Fourth Proportional to 498,807.10, 748,460.94 and 232,588.45

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Solution

The fourth proportional to 498,807.10, 748,460.94 and 232,588.45 is: 348,999.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,807.10 : 748,460.94 = 232,588.45 : x
  2. Step 2: Convert to fraction form
    498,807.10/748,460.94 = 232,588.45/x
  3. Step 3: Cross multiply
    498,807.10x = 748,460.94 × 232,588.45
  4. Step 4: Simplify right side
    498,807.10x = 174,083,369,920.14
  5. Step 5: Solve for x
    x = 174,083,369,920.14/498,807.10
  6. Step 6: Final answer
    x = 348,999.38

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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.