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Finding the Fourth Proportional to 402,430.12, 603,195.56 and 174,462.57

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Solution

The fourth proportional to 402,430.12, 603,195.56 and 174,462.57 is: 261,498.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,430.12 : 603,195.56 = 174,462.57 : x
  2. Step 2: Convert to fraction form
    402,430.12/603,195.56 = 174,462.57/x
  3. Step 3: Cross multiply
    402,430.12x = 603,195.56 × 174,462.57
  4. Step 4: Simplify right side
    402,430.12x = 105,235,047,392.11
  5. Step 5: Solve for x
    x = 105,235,047,392.11/402,430.12
  6. Step 6: Final answer
    x = 261,498.94

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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.