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Finding the Fourth Proportional to 497,567.22, 686,100.13 and 336,141.98

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Solution

The fourth proportional to 497,567.22, 686,100.13 and 336,141.98 is: 463,509.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,567.22 : 686,100.13 = 336,141.98 : x
  2. Step 2: Convert to fraction form
    497,567.22/686,100.13 = 336,141.98/x
  3. Step 3: Cross multiply
    497,567.22x = 686,100.13 × 336,141.98
  4. Step 4: Simplify right side
    497,567.22x = 230,627,056,176.46
  5. Step 5: Solve for x
    x = 230,627,056,176.46/497,567.22
  6. Step 6: Final answer
    x = 463,509.34

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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.