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Finding the Fourth Proportional to 433,862.16, 598,421.16 and 398,167.44

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Solution

The fourth proportional to 433,862.16, 598,421.16 and 398,167.44 is: 549,187.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,862.16 : 598,421.16 = 398,167.44 : x
  2. Step 2: Convert to fraction form
    433,862.16/598,421.16 = 398,167.44/x
  3. Step 3: Cross multiply
    433,862.16x = 598,421.16 × 398,167.44
  4. Step 4: Simplify right side
    433,862.16x = 238,271,821,319.03
  5. Step 5: Solve for x
    x = 238,271,821,319.03/433,862.16
  6. Step 6: Final answer
    x = 549,187.84

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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.