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Finding the Fourth Proportional to 536,334.40, 803,810.40 and 411,054.40

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Solution

The fourth proportional to 536,334.40, 803,810.40 and 411,054.40 is: 616,051.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,334.40 : 803,810.40 = 411,054.40 : x
  2. Step 2: Convert to fraction form
    536,334.40/803,810.40 = 411,054.40/x
  3. Step 3: Cross multiply
    536,334.40x = 803,810.40 × 411,054.40
  4. Step 4: Simplify right side
    536,334.40x = 330,409,801,685.76
  5. Step 5: Solve for x
    x = 330,409,801,685.76/536,334.40
  6. Step 6: Final answer
    x = 616,051.85

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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.