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Finding the Fourth Proportional to 538,358.40, 808,315.20 and 406,166.40

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Solution

The fourth proportional to 538,358.40, 808,315.20 and 406,166.40 is: 609,836.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,358.40 : 808,315.20 = 406,166.40 : x
  2. Step 2: Convert to fraction form
    538,358.40/808,315.20 = 406,166.40/x
  3. Step 3: Cross multiply
    538,358.40x = 808,315.20 × 406,166.40
  4. Step 4: Simplify right side
    538,358.40x = 328,310,474,849.28
  5. Step 5: Solve for x
    x = 328,310,474,849.28/538,358.40
  6. Step 6: Final answer
    x = 609,836.26

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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.