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Finding the Fourth Proportional to 314,168.60, 470,216.10 and 243,666.20

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Solution

The fourth proportional to 314,168.60, 470,216.10 and 243,666.20 is: 364,695.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,168.60 : 470,216.10 = 243,666.20 : x
  2. Step 2: Convert to fraction form
    314,168.60/470,216.10 = 243,666.20/x
  3. Step 3: Cross multiply
    314,168.60x = 470,216.10 × 243,666.20
  4. Step 4: Simplify right side
    314,168.60x = 114,575,770,265.82
  5. Step 5: Solve for x
    x = 114,575,770,265.82/314,168.60
  6. Step 6: Final answer
    x = 364,695.17

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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.