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Finding the Fourth Proportional to 411,125.84, 616,738.16 and 144,831.32

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Solution

The fourth proportional to 411,125.84, 616,738.16 and 144,831.32 is: 217,264.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,125.84 : 616,738.16 = 144,831.32 : x
  2. Step 2: Convert to fraction form
    411,125.84/616,738.16 = 144,831.32/x
  3. Step 3: Cross multiply
    411,125.84x = 616,738.16 × 144,831.32
  4. Step 4: Simplify right side
    411,125.84x = 89,323,001,807.17
  5. Step 5: Solve for x
    x = 89,323,001,807.17/411,125.84
  6. Step 6: Final answer
    x = 217,264.38

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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.