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Finding the Fourth Proportional to 360,830.16, 497,946.94 and 195,258.14

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Solution

The fourth proportional to 360,830.16, 497,946.94 and 195,258.14 is: 269,456.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,830.16 : 497,946.94 = 195,258.14 : x
  2. Step 2: Convert to fraction form
    360,830.16/497,946.94 = 195,258.14/x
  3. Step 3: Cross multiply
    360,830.16x = 497,946.94 × 195,258.14
  4. Step 4: Simplify right side
    360,830.16x = 97,228,193,323.09
  5. Step 5: Solve for x
    x = 97,228,193,323.09/360,830.16
  6. Step 6: Final answer
    x = 269,456.95

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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.