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Finding the Fourth Proportional to 314,437.60, 471,656.40 and 188,466.40

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Solution

The fourth proportional to 314,437.60, 471,656.40 and 188,466.40 is: 282,699.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,437.60 : 471,656.40 = 188,466.40 : x
  2. Step 2: Convert to fraction form
    314,437.60/471,656.40 = 188,466.40/x
  3. Step 3: Cross multiply
    314,437.60x = 471,656.40 × 188,466.40
  4. Step 4: Simplify right side
    314,437.60x = 88,891,383,744.96
  5. Step 5: Solve for x
    x = 88,891,383,744.96/314,437.60
  6. Step 6: Final answer
    x = 282,699.60

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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.