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Finding the Fourth Proportional to 364,038.41, 502,390.11 and 202,894.58

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Solution

The fourth proportional to 364,038.41, 502,390.11 and 202,894.58 is: 280,004.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,038.41 : 502,390.11 = 202,894.58 : x
  2. Step 2: Convert to fraction form
    364,038.41/502,390.11 = 202,894.58/x
  3. Step 3: Cross multiply
    364,038.41x = 502,390.11 × 202,894.58
  4. Step 4: Simplify right side
    364,038.41x = 101,932,227,852.65
  5. Step 5: Solve for x
    x = 101,932,227,852.65/364,038.41
  6. Step 6: Final answer
    x = 280,004.05

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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.