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Finding the Fourth Proportional to 364,409.53, 502,907.68 and 201,065.24

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Solution

The fourth proportional to 364,409.53, 502,907.68 and 201,065.24 is: 277,482.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,409.53 : 502,907.68 = 201,065.24 : x
  2. Step 2: Convert to fraction form
    364,409.53/502,907.68 = 201,065.24/x
  3. Step 3: Cross multiply
    364,409.53x = 502,907.68 × 201,065.24
  4. Step 4: Simplify right side
    364,409.53x = 101,117,253,377.04
  5. Step 5: Solve for x
    x = 101,117,253,377.04/364,409.53
  6. Step 6: Final answer
    x = 277,482.46

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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.