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Finding the Fourth Proportional to 364,075.75, 502,441.77 and 202,931.92

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Solution

The fourth proportional to 364,075.75, 502,441.77 and 202,931.92 is: 280,055.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,075.75 : 502,441.77 = 202,931.92 : x
  2. Step 2: Convert to fraction form
    364,075.75/502,441.77 = 202,931.92/x
  3. Step 3: Cross multiply
    364,075.75x = 502,441.77 × 202,931.92
  4. Step 4: Simplify right side
    364,075.75x = 101,961,473,074.30
  5. Step 5: Solve for x
    x = 101,961,473,074.30/364,075.75
  6. Step 6: Final answer
    x = 280,055.66

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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.