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Finding the Fourth Proportional to 314,002.94, 471,005.74 and 97,864.42

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Solution

The fourth proportional to 314,002.94, 471,005.74 and 97,864.42 is: 146,797.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,002.94 : 471,005.74 = 97,864.42 : x
  2. Step 2: Convert to fraction form
    314,002.94/471,005.74 = 97,864.42/x
  3. Step 3: Cross multiply
    314,002.94x = 471,005.74 × 97,864.42
  4. Step 4: Simplify right side
    314,002.94x = 46,094,703,561.77
  5. Step 5: Solve for x
    x = 46,094,703,561.77/314,002.94
  6. Step 6: Final answer
    x = 146,797.04

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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.