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Finding the Fourth Proportional to 463,781.61, 698,831.46 and 381,387.33

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Solution

The fourth proportional to 463,781.61, 698,831.46 and 381,387.33 is: 574,678.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,781.61 : 698,831.46 = 381,387.33 : x
  2. Step 2: Convert to fraction form
    463,781.61/698,831.46 = 381,387.33/x
  3. Step 3: Cross multiply
    463,781.61x = 698,831.46 × 381,387.33
  4. Step 4: Simplify right side
    463,781.61x = 266,525,462,742.47
  5. Step 5: Solve for x
    x = 266,525,462,742.47/463,781.61
  6. Step 6: Final answer
    x = 574,678.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.