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Finding the Fourth Proportional to 314,110.62, 470,884.86 and 114,290.10

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Solution

The fourth proportional to 314,110.62, 470,884.86 and 114,290.10 is: 171,332.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,110.62 : 470,884.86 = 114,290.10 : x
  2. Step 2: Convert to fraction form
    314,110.62/470,884.86 = 114,290.10/x
  3. Step 3: Cross multiply
    314,110.62x = 470,884.86 × 114,290.10
  4. Step 4: Simplify right side
    314,110.62x = 53,817,477,737.89
  5. Step 5: Solve for x
    x = 53,817,477,737.89/314,110.62
  6. Step 6: Final answer
    x = 171,332.88

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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.