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Finding the Fourth Proportional to 365,464.80, 502,402.68 and 314,290.08

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Solution

The fourth proportional to 365,464.80, 502,402.68 and 314,290.08 is: 432,053.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,464.80 : 502,402.68 = 314,290.08 : x
  2. Step 2: Convert to fraction form
    365,464.80/502,402.68 = 314,290.08/x
  3. Step 3: Cross multiply
    365,464.80x = 502,402.68 × 314,290.08
  4. Step 4: Simplify right side
    365,464.80x = 157,900,178,489.41
  5. Step 5: Solve for x
    x = 157,900,178,489.41/365,464.80
  6. Step 6: Final answer
    x = 432,053.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.