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Finding the Fourth Proportional to 458,357.16, 632,539.62 and 254,421.22

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Solution

The fourth proportional to 458,357.16, 632,539.62 and 254,421.22 is: 351,105.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,357.16 : 632,539.62 = 254,421.22 : x
  2. Step 2: Convert to fraction form
    458,357.16/632,539.62 = 254,421.22/x
  3. Step 3: Cross multiply
    458,357.16x = 632,539.62 × 254,421.22
  4. Step 4: Simplify right side
    458,357.16x = 160,931,501,818.74
  5. Step 5: Solve for x
    x = 160,931,501,818.74/458,357.16
  6. Step 6: Final answer
    x = 351,105.02

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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.