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Finding the Fourth Proportional to 540,638.10, 746,052.93 and 302,174.10

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Solution

The fourth proportional to 540,638.10, 746,052.93 and 302,174.10 is: 416,984.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,638.10 : 746,052.93 = 302,174.10 : x
  2. Step 2: Convert to fraction form
    540,638.10/746,052.93 = 302,174.10/x
  3. Step 3: Cross multiply
    540,638.10x = 746,052.93 × 302,174.10
  4. Step 4: Simplify right side
    540,638.10x = 225,437,872,675.11
  5. Step 5: Solve for x
    x = 225,437,872,675.11/540,638.10
  6. Step 6: Final answer
    x = 416,984.80

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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.