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Finding the Fourth Proportional to 498,424.30, 747,636.45 and 232,703.80

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Solution

The fourth proportional to 498,424.30, 747,636.45 and 232,703.80 is: 349,055.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,424.30 : 747,636.45 = 232,703.80 : x
  2. Step 2: Convert to fraction form
    498,424.30/747,636.45 = 232,703.80/x
  3. Step 3: Cross multiply
    498,424.30x = 747,636.45 × 232,703.80
  4. Step 4: Simplify right side
    498,424.30x = 173,977,842,933.51
  5. Step 5: Solve for x
    x = 173,977,842,933.51/498,424.30
  6. Step 6: Final answer
    x = 349,055.70

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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.