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Finding the Fourth Proportional to 261,411.70, 392,506.35 and 202,314.10

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Solution

The fourth proportional to 261,411.70, 392,506.35 and 202,314.10 is: 303,772.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,411.70 : 392,506.35 = 202,314.10 : x
  2. Step 2: Convert to fraction form
    261,411.70/392,506.35 = 202,314.10/x
  3. Step 3: Cross multiply
    261,411.70x = 392,506.35 × 202,314.10
  4. Step 4: Simplify right side
    261,411.70x = 79,409,568,944.54
  5. Step 5: Solve for x
    x = 79,409,568,944.54/261,411.70
  6. Step 6: Final answer
    x = 303,772.05

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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.