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Finding the Fourth Proportional to 385,259.92, 531,629.84 and 215,461.24

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Solution

The fourth proportional to 385,259.92, 531,629.84 and 215,461.24 is: 297,320.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,259.92 : 531,629.84 = 215,461.24 : x
  2. Step 2: Convert to fraction form
    385,259.92/531,629.84 = 215,461.24/x
  3. Step 3: Cross multiply
    385,259.92x = 531,629.84 × 215,461.24
  4. Step 4: Simplify right side
    385,259.92x = 114,545,624,547.40
  5. Step 5: Solve for x
    x = 114,545,624,547.40/385,259.92
  6. Step 6: Final answer
    x = 297,320.38

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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.