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Finding the Fourth Proportional to 277,605.42, 416,411.52 and 97,696.20

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Solution

The fourth proportional to 277,605.42, 416,411.52 and 97,696.20 is: 146,545.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,605.42 : 416,411.52 = 97,696.20 : x
  2. Step 2: Convert to fraction form
    277,605.42/416,411.52 = 97,696.20/x
  3. Step 3: Cross multiply
    277,605.42x = 416,411.52 × 97,696.20
  4. Step 4: Simplify right side
    277,605.42x = 40,681,823,140.22
  5. Step 5: Solve for x
    x = 40,681,823,140.22/277,605.42
  6. Step 6: Final answer
    x = 146,545.49

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1.5x scale

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.