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Finding the Fourth Proportional to 402,965.32, 556,114.28 and 233,254.12

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Solution

The fourth proportional to 402,965.32, 556,114.28 and 233,254.12 is: 321,903.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,965.32 : 556,114.28 = 233,254.12 : x
  2. Step 2: Convert to fraction form
    402,965.32/556,114.28 = 233,254.12/x
  3. Step 3: Cross multiply
    402,965.32x = 556,114.28 × 233,254.12
  4. Step 4: Simplify right side
    402,965.32x = 129,715,947,000.83
  5. Step 5: Solve for x
    x = 129,715,947,000.83/402,965.32
  6. Step 6: Final answer
    x = 321,903.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.