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Finding the Fourth Proportional to 398,507.83, 549,924.26 and 217,215.77

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Solution

The fourth proportional to 398,507.83, 549,924.26 and 217,215.77 is: 299,748.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,507.83 : 549,924.26 = 217,215.77 : x
  2. Step 2: Convert to fraction form
    398,507.83/549,924.26 = 217,215.77/x
  3. Step 3: Cross multiply
    398,507.83x = 549,924.26 × 217,215.77
  4. Step 4: Simplify right side
    398,507.83x = 119,452,217,741.88
  5. Step 5: Solve for x
    x = 119,452,217,741.88/398,507.83
  6. Step 6: Final answer
    x = 299,748.74

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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.