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Finding the Fourth Proportional to 382,036.32, 527,206.32 and 212,266.80

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Solution

The fourth proportional to 382,036.32, 527,206.32 and 212,266.80 is: 292,926.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,036.32 : 527,206.32 = 212,266.80 : x
  2. Step 2: Convert to fraction form
    382,036.32/527,206.32 = 212,266.80/x
  3. Step 3: Cross multiply
    382,036.32x = 527,206.32 × 212,266.80
  4. Step 4: Simplify right side
    382,036.32x = 111,908,398,486.18
  5. Step 5: Solve for x
    x = 111,908,398,486.18/382,036.32
  6. Step 6: Final answer
    x = 292,926.07

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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.