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Finding the Fourth Proportional to 507,826.80, 700,482.60 and 326,774.16

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Solution

The fourth proportional to 507,826.80, 700,482.60 and 326,774.16 is: 450,743.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,826.80 : 700,482.60 = 326,774.16 : x
  2. Step 2: Convert to fraction form
    507,826.80/700,482.60 = 326,774.16/x
  3. Step 3: Cross multiply
    507,826.80x = 700,482.60 × 326,774.16
  4. Step 4: Simplify right side
    507,826.80x = 228,899,613,209.62
  5. Step 5: Solve for x
    x = 228,899,613,209.62/507,826.80
  6. Step 6: Final answer
    x = 450,743.47

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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.