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Finding the Fourth Proportional to 538,813.42, 808,303.20 and 183,744.40

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Solution

The fourth proportional to 538,813.42, 808,303.20 and 183,744.40 is: 275,644.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,813.42 : 808,303.20 = 183,744.40 : x
  2. Step 2: Convert to fraction form
    538,813.42/808,303.20 = 183,744.40/x
  3. Step 3: Cross multiply
    538,813.42x = 808,303.20 × 183,744.40
  4. Step 4: Simplify right side
    538,813.42x = 148,521,186,341.41
  5. Step 5: Solve for x
    x = 148,521,186,341.41/538,813.42
  6. Step 6: Final answer
    x = 275,644.93

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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.