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Finding the Fourth Proportional to 538,782.40, 808,096.80 and 183,812.80

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Solution

The fourth proportional to 538,782.40, 808,096.80 and 183,812.80 is: 275,693.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,782.40 : 808,096.80 = 183,812.80 : x
  2. Step 2: Convert to fraction form
    538,782.40/808,096.80 = 183,812.80/x
  3. Step 3: Cross multiply
    538,782.40x = 808,096.80 × 183,812.80
  4. Step 4: Simplify right side
    538,782.40x = 148,538,535,479.04
  5. Step 5: Solve for x
    x = 148,538,535,479.04/538,782.40
  6. Step 6: Final answer
    x = 275,693.00

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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.