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Finding the Fourth Proportional to 296,565.84, 409,258.98 and 160,597.62

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Solution

The fourth proportional to 296,565.84, 409,258.98 and 160,597.62 is: 221,623.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,565.84 : 409,258.98 = 160,597.62 : x
  2. Step 2: Convert to fraction form
    296,565.84/409,258.98 = 160,597.62/x
  3. Step 3: Cross multiply
    296,565.84x = 409,258.98 × 160,597.62
  4. Step 4: Simplify right side
    296,565.84x = 65,726,018,151.63
  5. Step 5: Solve for x
    x = 65,726,018,151.63/296,565.84
  6. Step 6: Final answer
    x = 221,623.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.