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Finding the Fourth Proportional to 333,791.68, 500,688.48 and 97,140

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Solution

The fourth proportional to 333,791.68, 500,688.48 and 97,140 is: 145,710.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,791.68 : 500,688.48 = 97,140 : x
  2. Step 2: Convert to fraction form
    333,791.68/500,688.48 = 97,140/x
  3. Step 3: Cross multiply
    333,791.68x = 500,688.48 × 97,140
  4. Step 4: Simplify right side
    333,791.68x = 48,636,878,947.20
  5. Step 5: Solve for x
    x = 48,636,878,947.20/333,791.68
  6. Step 6: Final answer
    x = 145,710.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.