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Finding the Fourth Proportional to 329,030.80, 493,661.40 and 142,176.40

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Solution

The fourth proportional to 329,030.80, 493,661.40 and 142,176.40 is: 213,314.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,030.80 : 493,661.40 = 142,176.40 : x
  2. Step 2: Convert to fraction form
    329,030.80/493,661.40 = 142,176.40/x
  3. Step 3: Cross multiply
    329,030.80x = 493,661.40 × 142,176.40
  4. Step 4: Simplify right side
    329,030.80x = 70,187,000,670.96
  5. Step 5: Solve for x
    x = 70,187,000,670.96/329,030.80
  6. Step 6: Final answer
    x = 213,314.38

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1.5x scale

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.