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Finding the Fourth Proportional to 261,411.10, 392,116.65 and 202,289.20

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Solution

The fourth proportional to 261,411.10, 392,116.65 and 202,289.20 is: 303,433.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,411.10 : 392,116.65 = 202,289.20 : x
  2. Step 2: Convert to fraction form
    261,411.10/392,116.65 = 202,289.20/x
  3. Step 3: Cross multiply
    261,411.10x = 392,116.65 × 202,289.20
  4. Step 4: Simplify right side
    261,411.10x = 79,320,963,435.18
  5. Step 5: Solve for x
    x = 79,320,963,435.18/261,411.10
  6. Step 6: Final answer
    x = 303,433.80

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1.5x scale

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.