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Finding the Fourth Proportional to 364,104.40, 502,403.16 and 202,924.24

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Solution

The fourth proportional to 364,104.40, 502,403.16 and 202,924.24 is: 280,001.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,104.40 : 502,403.16 = 202,924.24 : x
  2. Step 2: Convert to fraction form
    364,104.40/502,403.16 = 202,924.24/x
  3. Step 3: Cross multiply
    364,104.40x = 502,403.16 × 202,924.24
  4. Step 4: Simplify right side
    364,104.40x = 101,949,779,416.60
  5. Step 5: Solve for x
    x = 101,949,779,416.60/364,104.40
  6. Step 6: Final answer
    x = 280,001.50

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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.