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Finding the Fourth Proportional to 247,257.40, 370,724.10 and 97,407.40

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Solution

The fourth proportional to 247,257.40, 370,724.10 and 97,407.40 is: 146,047.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,257.40 : 370,724.10 = 97,407.40 : x
  2. Step 2: Convert to fraction form
    247,257.40/370,724.10 = 97,407.40/x
  3. Step 3: Cross multiply
    247,257.40x = 370,724.10 × 97,407.40
  4. Step 4: Simplify right side
    247,257.40x = 36,111,270,698.34
  5. Step 5: Solve for x
    x = 36,111,270,698.34/247,257.40
  6. Step 6: Final answer
    x = 146,047.28

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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.