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Finding the Fourth Proportional to 314,175.60, 470,226.60 and 243,673.20

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Solution

The fourth proportional to 314,175.60, 470,226.60 and 243,673.20 is: 364,705.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,175.60 : 470,226.60 = 243,673.20 : x
  2. Step 2: Convert to fraction form
    314,175.60/470,226.60 = 243,673.20/x
  3. Step 3: Cross multiply
    314,175.60x = 470,226.60 × 243,673.20
  4. Step 4: Simplify right side
    314,175.60x = 114,581,620,347.12
  5. Step 5: Solve for x
    x = 114,581,620,347.12/314,175.60
  6. Step 6: Final answer
    x = 364,705.66

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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.