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Finding the Fourth Proportional to 286,643.70, 429,965.55 and 76,302.90

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Solution

The fourth proportional to 286,643.70, 429,965.55 and 76,302.90 is: 114,454.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,643.70 : 429,965.55 = 76,302.90 : x
  2. Step 2: Convert to fraction form
    286,643.70/429,965.55 = 76,302.90/x
  3. Step 3: Cross multiply
    286,643.70x = 429,965.55 × 76,302.90
  4. Step 4: Simplify right side
    286,643.70x = 32,807,618,365.10
  5. Step 5: Solve for x
    x = 32,807,618,365.10/286,643.70
  6. Step 6: Final answer
    x = 114,454.35

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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.