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Finding the Fourth Proportional to 296,432.40, 409,076.28 and 160,465.68

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Solution

The fourth proportional to 296,432.40, 409,076.28 and 160,465.68 is: 221,442.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,432.40 : 409,076.28 = 160,465.68 : x
  2. Step 2: Convert to fraction form
    296,432.40/409,076.28 = 160,465.68/x
  3. Step 3: Cross multiply
    296,432.40x = 409,076.28 × 160,465.68
  4. Step 4: Simplify right side
    296,432.40x = 65,642,703,442.07
  5. Step 5: Solve for x
    x = 65,642,703,442.07/296,432.40
  6. Step 6: Final answer
    x = 221,442.40

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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.