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Finding the Fourth Proportional to 364,416.36, 502,895.22 and 201,069.12

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Solution

The fourth proportional to 364,416.36, 502,895.22 and 201,069.12 is: 277,475.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,416.36 : 502,895.22 = 201,069.12 : x
  2. Step 2: Convert to fraction form
    364,416.36/502,895.22 = 201,069.12/x
  3. Step 3: Cross multiply
    364,416.36x = 502,895.22 × 201,069.12
  4. Step 4: Simplify right side
    364,416.36x = 101,116,699,337.61
  5. Step 5: Solve for x
    x = 101,116,699,337.61/364,416.36
  6. Step 6: Final answer
    x = 277,475.74

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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.