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Finding the Fourth Proportional to 463,417.46, 638,971.22 and 371,463.22

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Solution

The fourth proportional to 463,417.46, 638,971.22 and 371,463.22 is: 512,182.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,417.46 : 638,971.22 = 371,463.22 : x
  2. Step 2: Convert to fraction form
    463,417.46/638,971.22 = 371,463.22/x
  3. Step 3: Cross multiply
    463,417.46x = 638,971.22 × 371,463.22
  4. Step 4: Simplify right side
    463,417.46x = 237,354,306,868.53
  5. Step 5: Solve for x
    x = 237,354,306,868.53/463,417.46
  6. Step 6: Final answer
    x = 512,182.49

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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.