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Finding the Fourth Proportional to 286,643.20, 429,964.80 and 76,302.40

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Solution

The fourth proportional to 286,643.20, 429,964.80 and 76,302.40 is: 114,453.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,643.20 : 429,964.80 = 76,302.40 : x
  2. Step 2: Convert to fraction form
    286,643.20/429,964.80 = 76,302.40/x
  3. Step 3: Cross multiply
    286,643.20x = 429,964.80 × 76,302.40
  4. Step 4: Simplify right side
    286,643.20x = 32,807,346,155.52
  5. Step 5: Solve for x
    x = 32,807,346,155.52/286,643.20
  6. Step 6: Final answer
    x = 114,453.60

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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.