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Finding the Fourth Proportional to 314,373.72, 471,565.44 and 175,018.08

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Solution

The fourth proportional to 314,373.72, 471,565.44 and 175,018.08 is: 262,529.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,373.72 : 471,565.44 = 175,018.08 : x
  2. Step 2: Convert to fraction form
    314,373.72/471,565.44 = 175,018.08/x
  3. Step 3: Cross multiply
    314,373.72x = 471,565.44 × 175,018.08
  4. Step 4: Simplify right side
    314,373.72x = 82,532,477,903.16
  5. Step 5: Solve for x
    x = 82,532,477,903.16/314,373.72
  6. Step 6: Final answer
    x = 262,529.83

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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.