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Finding the Fourth Proportional to 371,085.68, 512,096.10 and 201,316.16

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Solution

The fourth proportional to 371,085.68, 512,096.10 and 201,316.16 is: 277,815.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,085.68 : 512,096.10 = 201,316.16 : x
  2. Step 2: Convert to fraction form
    371,085.68/512,096.10 = 201,316.16/x
  3. Step 3: Cross multiply
    371,085.68x = 512,096.10 × 201,316.16
  4. Step 4: Simplify right side
    371,085.68x = 103,093,220,402.98
  5. Step 5: Solve for x
    x = 103,093,220,402.98/371,085.68
  6. Step 6: Final answer
    x = 277,815.14

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1.5x scale

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.