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Finding the Fourth Proportional to 316,454.36, 474,045.48 and 147,741.89

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Solution

The fourth proportional to 316,454.36, 474,045.48 and 147,741.89 is: 221,315.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,454.36 : 474,045.48 = 147,741.89 : x
  2. Step 2: Convert to fraction form
    316,454.36/474,045.48 = 147,741.89/x
  3. Step 3: Cross multiply
    316,454.36x = 474,045.48 × 147,741.89
  4. Step 4: Simplify right side
    316,454.36x = 70,036,372,790.93
  5. Step 5: Solve for x
    x = 70,036,372,790.93/316,454.36
  6. Step 6: Final answer
    x = 221,315.88

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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.