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Finding the Fourth Proportional to 477,077.18, 715,616.17 and 224,172.16

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Solution

The fourth proportional to 477,077.18, 715,616.17 and 224,172.16 is: 336,258.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,077.18 : 715,616.17 = 224,172.16 : x
  2. Step 2: Convert to fraction form
    477,077.18/715,616.17 = 224,172.16/x
  3. Step 3: Cross multiply
    477,077.18x = 715,616.17 × 224,172.16
  4. Step 4: Simplify right side
    477,077.18x = 160,421,220,210.36
  5. Step 5: Solve for x
    x = 160,421,220,210.36/477,077.18
  6. Step 6: Final answer
    x = 336,258.43

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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.