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Finding the Fourth Proportional to 363,740.48, 501,788.01 and 282,612.80

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Solution

The fourth proportional to 363,740.48, 501,788.01 and 282,612.80 is: 389,870.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,740.48 : 501,788.01 = 282,612.80 : x
  2. Step 2: Convert to fraction form
    363,740.48/501,788.01 = 282,612.80/x
  3. Step 3: Cross multiply
    363,740.48x = 501,788.01 × 282,612.80
  4. Step 4: Simplify right side
    363,740.48x = 141,811,710,943.79
  5. Step 5: Solve for x
    x = 141,811,710,943.79/363,740.48
  6. Step 6: Final answer
    x = 389,870.58

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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.