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Finding the Fourth Proportional to 458,347.64, 632,636.01 and 313,212.20

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Solution

The fourth proportional to 458,347.64, 632,636.01 and 313,212.20 is: 432,312.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,347.64 : 632,636.01 = 313,212.20 : x
  2. Step 2: Convert to fraction form
    458,347.64/632,636.01 = 313,212.20/x
  3. Step 3: Cross multiply
    458,347.64x = 632,636.01 × 313,212.20
  4. Step 4: Simplify right side
    458,347.64x = 198,149,316,491.32
  5. Step 5: Solve for x
    x = 198,149,316,491.32/458,347.64
  6. Step 6: Final answer
    x = 432,312.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.