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Finding the Fourth Proportional to 431,200.07, 590,746.20 and 415,038.72

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Solution

The fourth proportional to 431,200.07, 590,746.20 and 415,038.72 is: 568,605.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,200.07 : 590,746.20 = 415,038.72 : x
  2. Step 2: Convert to fraction form
    431,200.07/590,746.20 = 415,038.72/x
  3. Step 3: Cross multiply
    431,200.07x = 590,746.20 × 415,038.72
  4. Step 4: Simplify right side
    431,200.07x = 245,182,546,692.86
  5. Step 5: Solve for x
    x = 245,182,546,692.86/431,200.07
  6. Step 6: Final answer
    x = 568,605.08

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