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Finding the Fourth Proportional to 409,968.40, 615,106.20 and 160,829.20

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Solution

The fourth proportional to 409,968.40, 615,106.20 and 160,829.20 is: 241,304.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,968.40 : 615,106.20 = 160,829.20 : x
  2. Step 2: Convert to fraction form
    409,968.40/615,106.20 = 160,829.20/x
  3. Step 3: Cross multiply
    409,968.40x = 615,106.20 × 160,829.20
  4. Step 4: Simplify right side
    409,968.40x = 98,927,038,061.04
  5. Step 5: Solve for x
    x = 98,927,038,061.04/409,968.40
  6. Step 6: Final answer
    x = 241,304.06

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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.