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Finding the Fourth Proportional to 292,215.20, 438,322.80 and 186,461.60

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Solution

The fourth proportional to 292,215.20, 438,322.80 and 186,461.60 is: 279,692.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,215.20 : 438,322.80 = 186,461.60 : x
  2. Step 2: Convert to fraction form
    292,215.20/438,322.80 = 186,461.60/x
  3. Step 3: Cross multiply
    292,215.20x = 438,322.80 × 186,461.60
  4. Step 4: Simplify right side
    292,215.20x = 81,730,370,604.48
  5. Step 5: Solve for x
    x = 81,730,370,604.48/292,215.20
  6. Step 6: Final answer
    x = 279,692.40

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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.